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Finding the Fourth Proportional to 10,470.18, 14,449.80 and 5,755.38

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Solution

The fourth proportional to 10,470.18, 14,449.80 and 5,755.38 is: 7,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.18 : 14,449.80 = 5,755.38 : x
  2. Step 2: Convert to fraction form
    10,470.18/14,449.80 = 5,755.38/x
  3. Step 3: Cross multiply
    10,470.18x = 14,449.80 × 5,755.38
  4. Step 4: Simplify right side
    10,470.18x = 83,164,089.92
  5. Step 5: Solve for x
    x = 83,164,089.92/10,470.18
  6. Step 6: Final answer
    x = 7,942.95

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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.