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Finding the Fourth Proportional to 10,491.39, 15,731.33 and 4,159.85

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Solution

The fourth proportional to 10,491.39, 15,731.33 and 4,159.85 is: 6,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.39 : 15,731.33 = 4,159.85 : x
  2. Step 2: Convert to fraction form
    10,491.39/15,731.33 = 4,159.85/x
  3. Step 3: Cross multiply
    10,491.39x = 15,731.33 × 4,159.85
  4. Step 4: Simplify right side
    10,491.39x = 65,440,037.29
  5. Step 5: Solve for x
    x = 65,440,037.29/10,491.39
  6. Step 6: Final answer
    x = 6,237.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.