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Finding the Fourth Proportional to 11,677.62, 17,506.44 and 5,098.98

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Solution

The fourth proportional to 11,677.62, 17,506.44 and 5,098.98 is: 7,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.62 : 17,506.44 = 5,098.98 : x
  2. Step 2: Convert to fraction form
    11,677.62/17,506.44 = 5,098.98/x
  3. Step 3: Cross multiply
    11,677.62x = 17,506.44 × 5,098.98
  4. Step 4: Simplify right side
    11,677.62x = 89,264,987.43
  5. Step 5: Solve for x
    x = 89,264,987.43/11,677.62
  6. Step 6: Final answer
    x = 7,644.11

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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.