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Finding the Fourth Proportional to 10,734, 14,807.88 and 7,591.92

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Solution

The fourth proportional to 10,734, 14,807.88 and 7,591.92 is: 10,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734 : 14,807.88 = 7,591.92 : x
  2. Step 2: Convert to fraction form
    10,734/14,807.88 = 7,591.92/x
  3. Step 3: Cross multiply
    10,734x = 14,807.88 × 7,591.92
  4. Step 4: Simplify right side
    10,734x = 112,420,240.33
  5. Step 5: Solve for x
    x = 112,420,240.33/10,734
  6. Step 6: Final answer
    x = 10,473.28

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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.