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Finding the Fourth Proportional to 8,270.47, 12,377.10 and 5,106.61

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Solution

The fourth proportional to 8,270.47, 12,377.10 and 5,106.61 is: 7,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.47 : 12,377.10 = 5,106.61 : x
  2. Step 2: Convert to fraction form
    8,270.47/12,377.10 = 5,106.61/x
  3. Step 3: Cross multiply
    8,270.47x = 12,377.10 × 5,106.61
  4. Step 4: Simplify right side
    8,270.47x = 63,205,022.63
  5. Step 5: Solve for x
    x = 63,205,022.63/8,270.47
  6. Step 6: Final answer
    x = 7,642.25

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