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Finding the Fourth Proportional to 11,077.76, 16,610.40 and 7,207.04

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Solution

The fourth proportional to 11,077.76, 16,610.40 and 7,207.04 is: 10,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.76 : 16,610.40 = 7,207.04 : x
  2. Step 2: Convert to fraction form
    11,077.76/16,610.40 = 7,207.04/x
  3. Step 3: Cross multiply
    11,077.76x = 16,610.40 × 7,207.04
  4. Step 4: Simplify right side
    11,077.76x = 119,711,817.22
  5. Step 5: Solve for x
    x = 119,711,817.22/11,077.76
  6. Step 6: Final answer
    x = 10,806.50

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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.