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Finding the Fourth Proportional to 8,359.80, 12,515.10 and 6,178.26

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Solution

The fourth proportional to 8,359.80, 12,515.10 and 6,178.26 is: 9,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.80 : 12,515.10 = 6,178.26 : x
  2. Step 2: Convert to fraction form
    8,359.80/12,515.10 = 6,178.26/x
  3. Step 3: Cross multiply
    8,359.80x = 12,515.10 × 6,178.26
  4. Step 4: Simplify right side
    8,359.80x = 77,321,541.73
  5. Step 5: Solve for x
    x = 77,321,541.73/8,359.80
  6. Step 6: Final answer
    x = 9,249.21

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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.