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Finding the Fourth Proportional to 7,252.44, 10,854 and 4,480.92

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Solution

The fourth proportional to 7,252.44, 10,854 and 4,480.92 is: 6,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.44 : 10,854 = 4,480.92 : x
  2. Step 2: Convert to fraction form
    7,252.44/10,854 = 4,480.92/x
  3. Step 3: Cross multiply
    7,252.44x = 10,854 × 4,480.92
  4. Step 4: Simplify right side
    7,252.44x = 48,635,905.68
  5. Step 5: Solve for x
    x = 48,635,905.68/7,252.44
  6. Step 6: Final answer
    x = 6,706.14

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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.