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Finding the Fourth Proportional to 7,614.88, 10,505.42 and 4,630.24

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Solution

The fourth proportional to 7,614.88, 10,505.42 and 4,630.24 is: 6,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.88 : 10,505.42 = 4,630.24 : x
  2. Step 2: Convert to fraction form
    7,614.88/10,505.42 = 4,630.24/x
  3. Step 3: Cross multiply
    7,614.88x = 10,505.42 × 4,630.24
  4. Step 4: Simplify right side
    7,614.88x = 48,642,615.90
  5. Step 5: Solve for x
    x = 48,642,615.90/7,614.88
  6. Step 6: Final answer
    x = 6,387.84

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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.