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Finding the Fourth Proportional to 8,272.80, 12,409.20 and 3,654.72

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Solution

The fourth proportional to 8,272.80, 12,409.20 and 3,654.72 is: 5,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.80 : 12,409.20 = 3,654.72 : x
  2. Step 2: Convert to fraction form
    8,272.80/12,409.20 = 3,654.72/x
  3. Step 3: Cross multiply
    8,272.80x = 12,409.20 × 3,654.72
  4. Step 4: Simplify right side
    8,272.80x = 45,352,151.42
  5. Step 5: Solve for x
    x = 45,352,151.42/8,272.80
  6. Step 6: Final answer
    x = 5,482.08

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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.