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Finding the Fourth Proportional to 8,109.60, 12,155.40 and 3,177.60

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Solution

The fourth proportional to 8,109.60, 12,155.40 and 3,177.60 is: 4,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.60 : 12,155.40 = 3,177.60 : x
  2. Step 2: Convert to fraction form
    8,109.60/12,155.40 = 3,177.60/x
  3. Step 3: Cross multiply
    8,109.60x = 12,155.40 × 3,177.60
  4. Step 4: Simplify right side
    8,109.60x = 38,624,999.04
  5. Step 5: Solve for x
    x = 38,624,999.04/8,109.60
  6. Step 6: Final answer
    x = 4,762.87

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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.