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Finding the Fourth Proportional to 7,125.92, 10,683.48 and 4,167.80

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Solution

The fourth proportional to 7,125.92, 10,683.48 and 4,167.80 is: 6,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.92 : 10,683.48 = 4,167.80 : x
  2. Step 2: Convert to fraction form
    7,125.92/10,683.48 = 4,167.80/x
  3. Step 3: Cross multiply
    7,125.92x = 10,683.48 × 4,167.80
  4. Step 4: Simplify right side
    7,125.92x = 44,526,607.94
  5. Step 5: Solve for x
    x = 44,526,607.94/7,125.92
  6. Step 6: Final answer
    x = 6,248.54

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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.