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Finding the Fourth Proportional to 12,411.90, 18,611.10 and 6,158.16

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Solution

The fourth proportional to 12,411.90, 18,611.10 and 6,158.16 is: 9,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.90 : 18,611.10 = 6,158.16 : x
  2. Step 2: Convert to fraction form
    12,411.90/18,611.10 = 6,158.16/x
  3. Step 3: Cross multiply
    12,411.90x = 18,611.10 × 6,158.16
  4. Step 4: Simplify right side
    12,411.90x = 114,610,131.58
  5. Step 5: Solve for x
    x = 114,610,131.58/12,411.90
  6. Step 6: Final answer
    x = 9,233.89

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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.