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Finding the Fourth Proportional to 7,642.83, 10,531.29 and 6,144.73

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Solution

The fourth proportional to 7,642.83, 10,531.29 and 6,144.73 is: 8,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.83 : 10,531.29 = 6,144.73 : x
  2. Step 2: Convert to fraction form
    7,642.83/10,531.29 = 6,144.73/x
  3. Step 3: Cross multiply
    7,642.83x = 10,531.29 × 6,144.73
  4. Step 4: Simplify right side
    7,642.83x = 64,711,933.60
  5. Step 5: Solve for x
    x = 64,711,933.60/7,642.83
  6. Step 6: Final answer
    x = 8,467.01

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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.