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Finding the Fourth Proportional to 10,882.02, 16,290.05 and 9,842.49

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Solution

The fourth proportional to 10,882.02, 16,290.05 and 9,842.49 is: 14,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.02 : 16,290.05 = 9,842.49 : x
  2. Step 2: Convert to fraction form
    10,882.02/16,290.05 = 9,842.49/x
  3. Step 3: Cross multiply
    10,882.02x = 16,290.05 × 9,842.49
  4. Step 4: Simplify right side
    10,882.02x = 160,334,605.01
  5. Step 5: Solve for x
    x = 160,334,605.01/10,882.02
  6. Step 6: Final answer
    x = 14,733.90

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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.