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Finding the Fourth Proportional to 11,403.54, 15,737.14 and 7,154.78

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Solution

The fourth proportional to 11,403.54, 15,737.14 and 7,154.78 is: 9,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.54 : 15,737.14 = 7,154.78 : x
  2. Step 2: Convert to fraction form
    11,403.54/15,737.14 = 7,154.78/x
  3. Step 3: Cross multiply
    11,403.54x = 15,737.14 × 7,154.78
  4. Step 4: Simplify right side
    11,403.54x = 112,595,774.53
  5. Step 5: Solve for x
    x = 112,595,774.53/11,403.54
  6. Step 6: Final answer
    x = 9,873.76

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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.