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Finding the Fourth Proportional to 8,176.19, 12,264.01 and 2,332.80

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Solution

The fourth proportional to 8,176.19, 12,264.01 and 2,332.80 is: 3,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.19 : 12,264.01 = 2,332.80 : x
  2. Step 2: Convert to fraction form
    8,176.19/12,264.01 = 2,332.80/x
  3. Step 3: Cross multiply
    8,176.19x = 12,264.01 × 2,332.80
  4. Step 4: Simplify right side
    8,176.19x = 28,609,476.70
  5. Step 5: Solve for x
    x = 28,609,476.70/8,176.19
  6. Step 6: Final answer
    x = 3,499.12

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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.