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Finding the Fourth Proportional to 10,904.60, 16,356.90 and 7,405.40

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Solution

The fourth proportional to 10,904.60, 16,356.90 and 7,405.40 is: 11,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.60 : 16,356.90 = 7,405.40 : x
  2. Step 2: Convert to fraction form
    10,904.60/16,356.90 = 7,405.40/x
  3. Step 3: Cross multiply
    10,904.60x = 16,356.90 × 7,405.40
  4. Step 4: Simplify right side
    10,904.60x = 121,129,387.26
  5. Step 5: Solve for x
    x = 121,129,387.26/10,904.60
  6. Step 6: Final answer
    x = 11,108.10

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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.