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Finding the Fourth Proportional to 10,177.90, 15,269.03 and 3,157.77

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Solution

The fourth proportional to 10,177.90, 15,269.03 and 3,157.77 is: 4,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.90 : 15,269.03 = 3,157.77 : x
  2. Step 2: Convert to fraction form
    10,177.90/15,269.03 = 3,157.77/x
  3. Step 3: Cross multiply
    10,177.90x = 15,269.03 × 3,157.77
  4. Step 4: Simplify right side
    10,177.90x = 48,216,084.86
  5. Step 5: Solve for x
    x = 48,216,084.86/10,177.90
  6. Step 6: Final answer
    x = 4,737.33

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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.