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Finding the Fourth Proportional to 11,477.60, 17,216.40 and 7,978.40

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Solution

The fourth proportional to 11,477.60, 17,216.40 and 7,978.40 is: 11,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.60 : 17,216.40 = 7,978.40 : x
  2. Step 2: Convert to fraction form
    11,477.60/17,216.40 = 7,978.40/x
  3. Step 3: Cross multiply
    11,477.60x = 17,216.40 × 7,978.40
  4. Step 4: Simplify right side
    11,477.60x = 137,359,325.76
  5. Step 5: Solve for x
    x = 137,359,325.76/11,477.60
  6. Step 6: Final answer
    x = 11,967.60

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.