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Finding the Fourth Proportional to 11,491.38, 15,859.82 and 7,017.72

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Solution

The fourth proportional to 11,491.38, 15,859.82 and 7,017.72 is: 9,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.38 : 15,859.82 = 7,017.72 : x
  2. Step 2: Convert to fraction form
    11,491.38/15,859.82 = 7,017.72/x
  3. Step 3: Cross multiply
    11,491.38x = 15,859.82 × 7,017.72
  4. Step 4: Simplify right side
    11,491.38x = 111,299,776.01
  5. Step 5: Solve for x
    x = 111,299,776.01/11,491.38
  6. Step 6: Final answer
    x = 9,685.50

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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.