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Finding the Fourth Proportional to 10,660.59, 14,711.69 and 5,880.70

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Solution

The fourth proportional to 10,660.59, 14,711.69 and 5,880.70 is: 8,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.59 : 14,711.69 = 5,880.70 : x
  2. Step 2: Convert to fraction form
    10,660.59/14,711.69 = 5,880.70/x
  3. Step 3: Cross multiply
    10,660.59x = 14,711.69 × 5,880.70
  4. Step 4: Simplify right side
    10,660.59x = 86,515,035.38
  5. Step 5: Solve for x
    x = 86,515,035.38/10,660.59
  6. Step 6: Final answer
    x = 8,115.41

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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.