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Finding the Fourth Proportional to 11,562.18, 15,948.81 and 7,363.14

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Solution

The fourth proportional to 11,562.18, 15,948.81 and 7,363.14 is: 10,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.18 : 15,948.81 = 7,363.14 : x
  2. Step 2: Convert to fraction form
    11,562.18/15,948.81 = 7,363.14/x
  3. Step 3: Cross multiply
    11,562.18x = 15,948.81 × 7,363.14
  4. Step 4: Simplify right side
    11,562.18x = 117,433,320.86
  5. Step 5: Solve for x
    x = 117,433,320.86/11,562.18
  6. Step 6: Final answer
    x = 10,156.68

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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.