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Finding the Fourth Proportional to 8,167.48, 12,235.80 and 4,825.76

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Solution

The fourth proportional to 8,167.48, 12,235.80 and 4,825.76 is: 7,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.48 : 12,235.80 = 4,825.76 : x
  2. Step 2: Convert to fraction form
    8,167.48/12,235.80 = 4,825.76/x
  3. Step 3: Cross multiply
    8,167.48x = 12,235.80 × 4,825.76
  4. Step 4: Simplify right side
    8,167.48x = 59,047,034.21
  5. Step 5: Solve for x
    x = 59,047,034.21/8,167.48
  6. Step 6: Final answer
    x = 7,229.53

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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.