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Finding the Fourth Proportional to 11,431.68, 15,760.58 and 8,242.32

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Solution

The fourth proportional to 11,431.68, 15,760.58 and 8,242.32 is: 11,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.68 : 15,760.58 = 8,242.32 : x
  2. Step 2: Convert to fraction form
    11,431.68/15,760.58 = 8,242.32/x
  3. Step 3: Cross multiply
    11,431.68x = 15,760.58 × 8,242.32
  4. Step 4: Simplify right side
    11,431.68x = 129,903,743.75
  5. Step 5: Solve for x
    x = 129,903,743.75/11,431.68
  6. Step 6: Final answer
    x = 11,363.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.