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Finding the Fourth Proportional to 8,177.98, 12,271.41 and 6,332.71

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Solution

The fourth proportional to 8,177.98, 12,271.41 and 6,332.71 is: 9,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.98 : 12,271.41 = 6,332.71 : x
  2. Step 2: Convert to fraction form
    8,177.98/12,271.41 = 6,332.71/x
  3. Step 3: Cross multiply
    8,177.98x = 12,271.41 × 6,332.71
  4. Step 4: Simplify right side
    8,177.98x = 77,711,280.82
  5. Step 5: Solve for x
    x = 77,711,280.82/8,177.98
  6. Step 6: Final answer
    x = 9,502.50

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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.