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Finding the Fourth Proportional to 8,278.44, 12,339.67 and 7,614.13

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Solution

The fourth proportional to 8,278.44, 12,339.67 and 7,614.13 is: 11,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.44 : 12,339.67 = 7,614.13 : x
  2. Step 2: Convert to fraction form
    8,278.44/12,339.67 = 7,614.13/x
  3. Step 3: Cross multiply
    8,278.44x = 12,339.67 × 7,614.13
  4. Step 4: Simplify right side
    8,278.44x = 93,955,851.54
  5. Step 5: Solve for x
    x = 93,955,851.54/8,278.44
  6. Step 6: Final answer
    x = 11,349.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.