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Finding the Fourth Proportional to 11,402.42, 15,731.01 and 6,924.48

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Solution

The fourth proportional to 11,402.42, 15,731.01 and 6,924.48 is: 9,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.42 : 15,731.01 = 6,924.48 : x
  2. Step 2: Convert to fraction form
    11,402.42/15,731.01 = 6,924.48/x
  3. Step 3: Cross multiply
    11,402.42x = 15,731.01 × 6,924.48
  4. Step 4: Simplify right side
    11,402.42x = 108,929,064.12
  5. Step 5: Solve for x
    x = 108,929,064.12/11,402.42
  6. Step 6: Final answer
    x = 9,553.15

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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.