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Finding the Fourth Proportional to 10,724.57, 14,799.93 and 6,008.88

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Solution

The fourth proportional to 10,724.57, 14,799.93 and 6,008.88 is: 8,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.57 : 14,799.93 = 6,008.88 : x
  2. Step 2: Convert to fraction form
    10,724.57/14,799.93 = 6,008.88/x
  3. Step 3: Cross multiply
    10,724.57x = 14,799.93 × 6,008.88
  4. Step 4: Simplify right side
    10,724.57x = 88,931,003.38
  5. Step 5: Solve for x
    x = 88,931,003.38/10,724.57
  6. Step 6: Final answer
    x = 8,292.27

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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.