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Finding the Fourth Proportional to 7,408.80, 10,200.64 and 6,287.36

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Solution

The fourth proportional to 7,408.80, 10,200.64 and 6,287.36 is: 8,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.80 : 10,200.64 = 6,287.36 : x
  2. Step 2: Convert to fraction form
    7,408.80/10,200.64 = 6,287.36/x
  3. Step 3: Cross multiply
    7,408.80x = 10,200.64 × 6,287.36
  4. Step 4: Simplify right side
    7,408.80x = 64,135,095.91
  5. Step 5: Solve for x
    x = 64,135,095.91/7,408.80
  6. Step 6: Final answer
    x = 8,656.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.