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Finding the Fourth Proportional to 10,988.52, 16,462.93 and 9,244.38

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Solution

The fourth proportional to 10,988.52, 16,462.93 and 9,244.38 is: 13,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.52 : 16,462.93 = 9,244.38 : x
  2. Step 2: Convert to fraction form
    10,988.52/16,462.93 = 9,244.38/x
  3. Step 3: Cross multiply
    10,988.52x = 16,462.93 × 9,244.38
  4. Step 4: Simplify right side
    10,988.52x = 152,189,580.83
  5. Step 5: Solve for x
    x = 152,189,580.83/10,988.52
  6. Step 6: Final answer
    x = 13,849.87

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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.