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Finding the Fourth Proportional to 10,706.15, 16,050.01 and 5,151.86

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Solution

The fourth proportional to 10,706.15, 16,050.01 and 5,151.86 is: 7,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.15 : 16,050.01 = 5,151.86 : x
  2. Step 2: Convert to fraction form
    10,706.15/16,050.01 = 5,151.86/x
  3. Step 3: Cross multiply
    10,706.15x = 16,050.01 × 5,151.86
  4. Step 4: Simplify right side
    10,706.15x = 82,687,311.39
  5. Step 5: Solve for x
    x = 82,687,311.39/10,706.15
  6. Step 6: Final answer
    x = 7,723.35

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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.