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Finding the Fourth Proportional to 8,277.80, 12,428.84 and 5,171.04

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Solution

The fourth proportional to 8,277.80, 12,428.84 and 5,171.04 is: 7,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.80 : 12,428.84 = 5,171.04 : x
  2. Step 2: Convert to fraction form
    8,277.80/12,428.84 = 5,171.04/x
  3. Step 3: Cross multiply
    8,277.80x = 12,428.84 × 5,171.04
  4. Step 4: Simplify right side
    8,277.80x = 64,270,041.72
  5. Step 5: Solve for x
    x = 64,270,041.72/8,277.80
  6. Step 6: Final answer
    x = 7,764.15

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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.