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Finding the Fourth Proportional to 11,343.40, 16,978.62 and 6,065.24

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Solution

The fourth proportional to 11,343.40, 16,978.62 and 6,065.24 is: 9,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.40 : 16,978.62 = 6,065.24 : x
  2. Step 2: Convert to fraction form
    11,343.40/16,978.62 = 6,065.24/x
  3. Step 3: Cross multiply
    11,343.40x = 16,978.62 × 6,065.24
  4. Step 4: Simplify right side
    11,343.40x = 102,979,405.17
  5. Step 5: Solve for x
    x = 102,979,405.17/11,343.40
  6. Step 6: Final answer
    x = 9,078.35

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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.