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Finding the Fourth Proportional to 10,690.76, 16,021.56 and 6,532.22

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Solution

The fourth proportional to 10,690.76, 16,021.56 and 6,532.22 is: 9,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.76 : 16,021.56 = 6,532.22 : x
  2. Step 2: Convert to fraction form
    10,690.76/16,021.56 = 6,532.22/x
  3. Step 3: Cross multiply
    10,690.76x = 16,021.56 × 6,532.22
  4. Step 4: Simplify right side
    10,690.76x = 104,656,354.66
  5. Step 5: Solve for x
    x = 104,656,354.66/10,690.76
  6. Step 6: Final answer
    x = 9,789.42

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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.