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Finding the Fourth Proportional to 10,080, 15,052.08 and 8,234.76

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Solution

The fourth proportional to 10,080, 15,052.08 and 8,234.76 is: 12,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 15,052.08 = 8,234.76 : x
  2. Step 2: Convert to fraction form
    10,080/15,052.08 = 8,234.76/x
  3. Step 3: Cross multiply
    10,080x = 15,052.08 × 8,234.76
  4. Step 4: Simplify right side
    10,080x = 123,950,266.30
  5. Step 5: Solve for x
    x = 123,950,266.30/10,080
  6. Step 6: Final answer
    x = 12,296.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.