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Finding the Fourth Proportional to 8,678.98, 11,974.17 and 5,536.18

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Solution

The fourth proportional to 8,678.98, 11,974.17 and 5,536.18 is: 7,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.98 : 11,974.17 = 5,536.18 : x
  2. Step 2: Convert to fraction form
    8,678.98/11,974.17 = 5,536.18/x
  3. Step 3: Cross multiply
    8,678.98x = 11,974.17 × 5,536.18
  4. Step 4: Simplify right side
    8,678.98x = 66,291,160.47
  5. Step 5: Solve for x
    x = 66,291,160.47/8,678.98
  6. Step 6: Final answer
    x = 7,638.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.