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Finding the Fourth Proportional to 8,177.60, 12,262.24 and 4,017.92

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Solution

The fourth proportional to 8,177.60, 12,262.24 and 4,017.92 is: 6,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.60 : 12,262.24 = 4,017.92 : x
  2. Step 2: Convert to fraction form
    8,177.60/12,262.24 = 4,017.92/x
  3. Step 3: Cross multiply
    8,177.60x = 12,262.24 × 4,017.92
  4. Step 4: Simplify right side
    8,177.60x = 49,268,699.34
  5. Step 5: Solve for x
    x = 49,268,699.34/8,177.60
  6. Step 6: Final answer
    x = 6,024.84

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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.