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Finding the Fourth Proportional to 8,248.08, 11,382 and 4,711.20

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Solution

The fourth proportional to 8,248.08, 11,382 and 4,711.20 is: 6,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.08 : 11,382 = 4,711.20 : x
  2. Step 2: Convert to fraction form
    8,248.08/11,382 = 4,711.20/x
  3. Step 3: Cross multiply
    8,248.08x = 11,382 × 4,711.20
  4. Step 4: Simplify right side
    8,248.08x = 53,622,878.40
  5. Step 5: Solve for x
    x = 53,622,878.40/8,248.08
  6. Step 6: Final answer
    x = 6,501.26

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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.