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Finding the Fourth Proportional to 10,275.49, 14,179.93 and 5,799.12

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Solution

The fourth proportional to 10,275.49, 14,179.93 and 5,799.12 is: 8,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.49 : 14,179.93 = 5,799.12 : x
  2. Step 2: Convert to fraction form
    10,275.49/14,179.93 = 5,799.12/x
  3. Step 3: Cross multiply
    10,275.49x = 14,179.93 × 5,799.12
  4. Step 4: Simplify right side
    10,275.49x = 82,231,115.66
  5. Step 5: Solve for x
    x = 82,231,115.66/10,275.49
  6. Step 6: Final answer
    x = 8,002.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.