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Finding the Fourth Proportional to 10,706.12, 16,062.60 and 5,159.96

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Solution

The fourth proportional to 10,706.12, 16,062.60 and 5,159.96 is: 7,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.12 : 16,062.60 = 5,159.96 : x
  2. Step 2: Convert to fraction form
    10,706.12/16,062.60 = 5,159.96/x
  3. Step 3: Cross multiply
    10,706.12x = 16,062.60 × 5,159.96
  4. Step 4: Simplify right side
    10,706.12x = 82,882,373.50
  5. Step 5: Solve for x
    x = 82,882,373.50/10,706.12
  6. Step 6: Final answer
    x = 7,741.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.