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Finding the Fourth Proportional to 8,252.92, 11,387.40 and 4,715.44

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Solution

The fourth proportional to 8,252.92, 11,387.40 and 4,715.44 is: 6,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.92 : 11,387.40 = 4,715.44 : x
  2. Step 2: Convert to fraction form
    8,252.92/11,387.40 = 4,715.44/x
  3. Step 3: Cross multiply
    8,252.92x = 11,387.40 × 4,715.44
  4. Step 4: Simplify right side
    8,252.92x = 53,696,601.46
  5. Step 5: Solve for x
    x = 53,696,601.46/8,252.92
  6. Step 6: Final answer
    x = 6,506.38

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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.