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Finding the Fourth Proportional to 8,176.89, 12,237.54 and 6,862.11

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Solution

The fourth proportional to 8,176.89, 12,237.54 and 6,862.11 is: 10,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.89 : 12,237.54 = 6,862.11 : x
  2. Step 2: Convert to fraction form
    8,176.89/12,237.54 = 6,862.11/x
  3. Step 3: Cross multiply
    8,176.89x = 12,237.54 × 6,862.11
  4. Step 4: Simplify right side
    8,176.89x = 83,975,345.61
  5. Step 5: Solve for x
    x = 83,975,345.61/8,176.89
  6. Step 6: Final answer
    x = 10,269.84

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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.