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Finding the Fourth Proportional to 7,630.56, 10,517.84 and 5,388.86

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Solution

The fourth proportional to 7,630.56, 10,517.84 and 5,388.86 is: 7,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.56 : 10,517.84 = 5,388.86 : x
  2. Step 2: Convert to fraction form
    7,630.56/10,517.84 = 5,388.86/x
  3. Step 3: Cross multiply
    7,630.56x = 10,517.84 × 5,388.86
  4. Step 4: Simplify right side
    7,630.56x = 56,679,167.26
  5. Step 5: Solve for x
    x = 56,679,167.26/7,630.56
  6. Step 6: Final answer
    x = 7,427.92

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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.