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Finding the Fourth Proportional to 10,251.46, 14,147.07 and 5,775.30

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Solution

The fourth proportional to 10,251.46, 14,147.07 and 5,775.30 is: 7,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.46 : 14,147.07 = 5,775.30 : x
  2. Step 2: Convert to fraction form
    10,251.46/14,147.07 = 5,775.30/x
  3. Step 3: Cross multiply
    10,251.46x = 14,147.07 × 5,775.30
  4. Step 4: Simplify right side
    10,251.46x = 81,703,573.37
  5. Step 5: Solve for x
    x = 81,703,573.37/10,251.46
  6. Step 6: Final answer
    x = 7,969.95

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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.