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Finding the Fourth Proportional to 11,432.85, 17,154.38 and 7,271.78

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Solution

The fourth proportional to 11,432.85, 17,154.38 and 7,271.78 is: 10,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.85 : 17,154.38 = 7,271.78 : x
  2. Step 2: Convert to fraction form
    11,432.85/17,154.38 = 7,271.78/x
  3. Step 3: Cross multiply
    11,432.85x = 17,154.38 × 7,271.78
  4. Step 4: Simplify right side
    11,432.85x = 124,742,809.80
  5. Step 5: Solve for x
    x = 124,742,809.80/11,432.85
  6. Step 6: Final answer
    x = 10,910.91

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