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Finding the Fourth Proportional to 8,386.62, 12,577.70 and 2,543.28

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Solution

The fourth proportional to 8,386.62, 12,577.70 and 2,543.28 is: 3,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.62 : 12,577.70 = 2,543.28 : x
  2. Step 2: Convert to fraction form
    8,386.62/12,577.70 = 2,543.28/x
  3. Step 3: Cross multiply
    8,386.62x = 12,577.70 × 2,543.28
  4. Step 4: Simplify right side
    8,386.62x = 31,988,600.14
  5. Step 5: Solve for x
    x = 31,988,600.14/8,386.62
  6. Step 6: Final answer
    x = 3,814.24

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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.