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Finding the Fourth Proportional to 8,180.71, 12,271.06 and 2,337.32

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Solution

The fourth proportional to 8,180.71, 12,271.06 and 2,337.32 is: 3,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.71 : 12,271.06 = 2,337.32 : x
  2. Step 2: Convert to fraction form
    8,180.71/12,271.06 = 2,337.32/x
  3. Step 3: Cross multiply
    8,180.71x = 12,271.06 × 2,337.32
  4. Step 4: Simplify right side
    8,180.71x = 28,681,332.60
  5. Step 5: Solve for x
    x = 28,681,332.60/8,180.71
  6. Step 6: Final answer
    x = 3,505.97

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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.