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Finding the Fourth Proportional to 10,431.72, 15,646.14 and 3,505.32

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Solution

The fourth proportional to 10,431.72, 15,646.14 and 3,505.32 is: 5,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.72 : 15,646.14 = 3,505.32 : x
  2. Step 2: Convert to fraction form
    10,431.72/15,646.14 = 3,505.32/x
  3. Step 3: Cross multiply
    10,431.72x = 15,646.14 × 3,505.32
  4. Step 4: Simplify right side
    10,431.72x = 54,844,727.46
  5. Step 5: Solve for x
    x = 54,844,727.46/10,431.72
  6. Step 6: Final answer
    x = 5,257.50

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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.