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Finding the Fourth Proportional to 8,726, 12,041.79 and 5,189.14

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Solution

The fourth proportional to 8,726, 12,041.79 and 5,189.14 is: 7,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726 : 12,041.79 = 5,189.14 : x
  2. Step 2: Convert to fraction form
    8,726/12,041.79 = 5,189.14/x
  3. Step 3: Cross multiply
    8,726x = 12,041.79 × 5,189.14
  4. Step 4: Simplify right side
    8,726x = 62,486,534.16
  5. Step 5: Solve for x
    x = 62,486,534.16/8,726
  6. Step 6: Final answer
    x = 7,160.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.