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Finding the Fourth Proportional to 10,251.75, 15,384.11 and 5,877.75

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Solution

The fourth proportional to 10,251.75, 15,384.11 and 5,877.75 is: 8,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.75 : 15,384.11 = 5,877.75 : x
  2. Step 2: Convert to fraction form
    10,251.75/15,384.11 = 5,877.75/x
  3. Step 3: Cross multiply
    10,251.75x = 15,384.11 × 5,877.75
  4. Step 4: Simplify right side
    10,251.75x = 90,423,952.55
  5. Step 5: Solve for x
    x = 90,423,952.55/10,251.75
  6. Step 6: Final answer
    x = 8,820.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.