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Finding the Fourth Proportional to 12,890.38, 17,788.78 and 7,516

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Solution

The fourth proportional to 12,890.38, 17,788.78 and 7,516 is: 10,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.38 : 17,788.78 = 7,516 : x
  2. Step 2: Convert to fraction form
    12,890.38/17,788.78 = 7,516/x
  3. Step 3: Cross multiply
    12,890.38x = 17,788.78 × 7,516
  4. Step 4: Simplify right side
    12,890.38x = 133,700,470.48
  5. Step 5: Solve for x
    x = 133,700,470.48/12,890.38
  6. Step 6: Final answer
    x = 10,372.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.