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Finding the Fourth Proportional to 10,470.38, 14,449.14 and 5,754.69

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Solution

The fourth proportional to 10,470.38, 14,449.14 and 5,754.69 is: 7,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.38 : 14,449.14 = 5,754.69 : x
  2. Step 2: Convert to fraction form
    10,470.38/14,449.14 = 5,754.69/x
  3. Step 3: Cross multiply
    10,470.38x = 14,449.14 × 5,754.69
  4. Step 4: Simplify right side
    10,470.38x = 83,150,321.47
  5. Step 5: Solve for x
    x = 83,150,321.47/10,470.38
  6. Step 6: Final answer
    x = 7,941.48

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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.