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Finding the Fourth Proportional to 8,530.40, 12,773.76 and 5,233.52

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Solution

The fourth proportional to 8,530.40, 12,773.76 and 5,233.52 is: 7,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.40 : 12,773.76 = 5,233.52 : x
  2. Step 2: Convert to fraction form
    8,530.40/12,773.76 = 5,233.52/x
  3. Step 3: Cross multiply
    8,530.40x = 12,773.76 × 5,233.52
  4. Step 4: Simplify right side
    8,530.40x = 66,851,728.44
  5. Step 5: Solve for x
    x = 66,851,728.44/8,530.40
  6. Step 6: Final answer
    x = 7,836.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.