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Finding the Fourth Proportional to 10,861.38, 14,983.65 and 7,508.84

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Solution

The fourth proportional to 10,861.38, 14,983.65 and 7,508.84 is: 10,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.38 : 14,983.65 = 7,508.84 : x
  2. Step 2: Convert to fraction form
    10,861.38/14,983.65 = 7,508.84/x
  3. Step 3: Cross multiply
    10,861.38x = 14,983.65 × 7,508.84
  4. Step 4: Simplify right side
    10,861.38x = 112,509,755.55
  5. Step 5: Solve for x
    x = 112,509,755.55/10,861.38
  6. Step 6: Final answer
    x = 10,358.70

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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.