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Finding the Fourth Proportional to 10,491.92, 15,737.92 and 4,252.05

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Solution

The fourth proportional to 10,491.92, 15,737.92 and 4,252.05 is: 6,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.92 : 15,737.92 = 4,252.05 : x
  2. Step 2: Convert to fraction form
    10,491.92/15,737.92 = 4,252.05/x
  3. Step 3: Cross multiply
    10,491.92x = 15,737.92 × 4,252.05
  4. Step 4: Simplify right side
    10,491.92x = 66,918,322.79
  5. Step 5: Solve for x
    x = 66,918,322.79/10,491.92
  6. Step 6: Final answer
    x = 6,378.08

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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.