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Finding the Fourth Proportional to 11,492.90, 17,227.11 and 6,551.90

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Solution

The fourth proportional to 11,492.90, 17,227.11 and 6,551.90 is: 9,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.90 : 17,227.11 = 6,551.90 : x
  2. Step 2: Convert to fraction form
    11,492.90/17,227.11 = 6,551.90/x
  3. Step 3: Cross multiply
    11,492.90x = 17,227.11 × 6,551.90
  4. Step 4: Simplify right side
    11,492.90x = 112,870,346.67
  5. Step 5: Solve for x
    x = 112,870,346.67/11,492.90
  6. Step 6: Final answer
    x = 9,820.87

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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.