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Finding the Fourth Proportional to 10,354.74, 15,484.41 and 7,691.36

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Solution

The fourth proportional to 10,354.74, 15,484.41 and 7,691.36 is: 11,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.74 : 15,484.41 = 7,691.36 : x
  2. Step 2: Convert to fraction form
    10,354.74/15,484.41 = 7,691.36/x
  3. Step 3: Cross multiply
    10,354.74x = 15,484.41 × 7,691.36
  4. Step 4: Simplify right side
    10,354.74x = 119,096,094.28
  5. Step 5: Solve for x
    x = 119,096,094.28/10,354.74
  6. Step 6: Final answer
    x = 11,501.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.