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Finding the Fourth Proportional to 10,143.92, 13,981.88 and 6,785.52

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Solution

The fourth proportional to 10,143.92, 13,981.88 and 6,785.52 is: 9,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.92 : 13,981.88 = 6,785.52 : x
  2. Step 2: Convert to fraction form
    10,143.92/13,981.88 = 6,785.52/x
  3. Step 3: Cross multiply
    10,143.92x = 13,981.88 × 6,785.52
  4. Step 4: Simplify right side
    10,143.92x = 94,874,326.38
  5. Step 5: Solve for x
    x = 94,874,326.38/10,143.92
  6. Step 6: Final answer
    x = 9,352.83

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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.