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Finding the Fourth Proportional to 8,337.42, 12,511.62 and 3,143.34

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Solution

The fourth proportional to 8,337.42, 12,511.62 and 3,143.34 is: 4,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.42 : 12,511.62 = 3,143.34 : x
  2. Step 2: Convert to fraction form
    8,337.42/12,511.62 = 3,143.34/x
  3. Step 3: Cross multiply
    8,337.42x = 12,511.62 × 3,143.34
  4. Step 4: Simplify right side
    8,337.42x = 39,328,275.61
  5. Step 5: Solve for x
    x = 39,328,275.61/8,337.42
  6. Step 6: Final answer
    x = 4,717.08

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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.