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Finding the Fourth Proportional to 7,517.48, 10,374.22 and 4,686

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Solution

The fourth proportional to 7,517.48, 10,374.22 and 4,686 is: 6,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.48 : 10,374.22 = 4,686 : x
  2. Step 2: Convert to fraction form
    7,517.48/10,374.22 = 4,686/x
  3. Step 3: Cross multiply
    7,517.48x = 10,374.22 × 4,686
  4. Step 4: Simplify right side
    7,517.48x = 48,613,594.92
  5. Step 5: Solve for x
    x = 48,613,594.92/7,517.48
  6. Step 6: Final answer
    x = 6,466.74

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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.