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Finding the Fourth Proportional to 7,401.17, 11,091.28 and 6,521.82

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Solution

The fourth proportional to 7,401.17, 11,091.28 and 6,521.82 is: 9,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.17 : 11,091.28 = 6,521.82 : x
  2. Step 2: Convert to fraction form
    7,401.17/11,091.28 = 6,521.82/x
  3. Step 3: Cross multiply
    7,401.17x = 11,091.28 × 6,521.82
  4. Step 4: Simplify right side
    7,401.17x = 72,335,331.73
  5. Step 5: Solve for x
    x = 72,335,331.73/7,401.17
  6. Step 6: Final answer
    x = 9,773.50

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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.