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Finding the Fourth Proportional to 7,080.64, 10,575.67 and 6,412.54

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Solution

The fourth proportional to 7,080.64, 10,575.67 and 6,412.54 is: 9,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.64 : 10,575.67 = 6,412.54 : x
  2. Step 2: Convert to fraction form
    7,080.64/10,575.67 = 6,412.54/x
  3. Step 3: Cross multiply
    7,080.64x = 10,575.67 × 6,412.54
  4. Step 4: Simplify right side
    7,080.64x = 67,816,906.90
  5. Step 5: Solve for x
    x = 67,816,906.90/7,080.64
  6. Step 6: Final answer
    x = 9,577.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.