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Finding the Fourth Proportional to 7,184.80, 10,777.20 and 2,566.88

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Solution

The fourth proportional to 7,184.80, 10,777.20 and 2,566.88 is: 3,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.80 : 10,777.20 = 2,566.88 : x
  2. Step 2: Convert to fraction form
    7,184.80/10,777.20 = 2,566.88/x
  3. Step 3: Cross multiply
    7,184.80x = 10,777.20 × 2,566.88
  4. Step 4: Simplify right side
    7,184.80x = 27,663,779.14
  5. Step 5: Solve for x
    x = 27,663,779.14/7,184.80
  6. Step 6: Final answer
    x = 3,850.32

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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.