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Finding the Fourth Proportional to 7,642.14, 11,463.20 and 5,044.47

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Solution

The fourth proportional to 7,642.14, 11,463.20 and 5,044.47 is: 7,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.14 : 11,463.20 = 5,044.47 : x
  2. Step 2: Convert to fraction form
    7,642.14/11,463.20 = 5,044.47/x
  3. Step 3: Cross multiply
    7,642.14x = 11,463.20 × 5,044.47
  4. Step 4: Simplify right side
    7,642.14x = 57,825,768.50
  5. Step 5: Solve for x
    x = 57,825,768.50/7,642.14
  6. Step 6: Final answer
    x = 7,566.70

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Why These Related Problems?

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