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Finding the Fourth Proportional to 11,516.94, 15,885.96 and 7,542.84

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Solution

The fourth proportional to 11,516.94, 15,885.96 and 7,542.84 is: 10,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.94 : 15,885.96 = 7,542.84 : x
  2. Step 2: Convert to fraction form
    11,516.94/15,885.96 = 7,542.84/x
  3. Step 3: Cross multiply
    11,516.94x = 15,885.96 × 7,542.84
  4. Step 4: Simplify right side
    11,516.94x = 119,825,254.53
  5. Step 5: Solve for x
    x = 119,825,254.53/11,516.94
  6. Step 6: Final answer
    x = 10,404.26

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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.