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Finding the Fourth Proportional to 12,015.71, 16,581.71 and 6,710.72

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Solution

The fourth proportional to 12,015.71, 16,581.71 and 6,710.72 is: 9,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.71 : 16,581.71 = 6,710.72 : x
  2. Step 2: Convert to fraction form
    12,015.71/16,581.71 = 6,710.72/x
  3. Step 3: Cross multiply
    12,015.71x = 16,581.71 × 6,710.72
  4. Step 4: Simplify right side
    12,015.71x = 111,275,179.38
  5. Step 5: Solve for x
    x = 111,275,179.38/12,015.71
  6. Step 6: Final answer
    x = 9,260.81

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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.