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Finding the Fourth Proportional to 8,248.38, 11,382.63 and 4,711.02

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Solution

The fourth proportional to 8,248.38, 11,382.63 and 4,711.02 is: 6,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.38 : 11,382.63 = 4,711.02 : x
  2. Step 2: Convert to fraction form
    8,248.38/11,382.63 = 4,711.02/x
  3. Step 3: Cross multiply
    8,248.38x = 11,382.63 × 4,711.02
  4. Step 4: Simplify right side
    8,248.38x = 53,623,797.58
  5. Step 5: Solve for x
    x = 53,623,797.58/8,248.38
  6. Step 6: Final answer
    x = 6,501.13

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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.