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Finding the Fourth Proportional to 8,335.78, 12,506.55 and 3,143.14

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Solution

The fourth proportional to 8,335.78, 12,506.55 and 3,143.14 is: 4,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.78 : 12,506.55 = 3,143.14 : x
  2. Step 2: Convert to fraction form
    8,335.78/12,506.55 = 3,143.14/x
  3. Step 3: Cross multiply
    8,335.78x = 12,506.55 × 3,143.14
  4. Step 4: Simplify right side
    8,335.78x = 39,309,837.57
  5. Step 5: Solve for x
    x = 39,309,837.57/8,335.78
  6. Step 6: Final answer
    x = 4,715.80

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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.