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Finding the Fourth Proportional to 8,966.67, 13,449.66 and 5,071.11

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Solution

The fourth proportional to 8,966.67, 13,449.66 and 5,071.11 is: 7,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.67 : 13,449.66 = 5,071.11 : x
  2. Step 2: Convert to fraction form
    8,966.67/13,449.66 = 5,071.11/x
  3. Step 3: Cross multiply
    8,966.67x = 13,449.66 × 5,071.11
  4. Step 4: Simplify right side
    8,966.67x = 68,204,664.39
  5. Step 5: Solve for x
    x = 68,204,664.39/8,966.67
  6. Step 6: Final answer
    x = 7,606.47

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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.