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Finding the Fourth Proportional to 10,707, 16,049.84 and 5,158.77

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Solution

The fourth proportional to 10,707, 16,049.84 and 5,158.77 is: 7,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707 : 16,049.84 = 5,158.77 : x
  2. Step 2: Convert to fraction form
    10,707/16,049.84 = 5,158.77/x
  3. Step 3: Cross multiply
    10,707x = 16,049.84 × 5,158.77
  4. Step 4: Simplify right side
    10,707x = 82,797,407.30
  5. Step 5: Solve for x
    x = 82,797,407.30/10,707
  6. Step 6: Final answer
    x = 7,733.02

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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.