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Finding the Fourth Proportional to 10,991.40, 16,445.92 and 6,532.76

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Solution

The fourth proportional to 10,991.40, 16,445.92 and 6,532.76 is: 9,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.40 : 16,445.92 = 6,532.76 : x
  2. Step 2: Convert to fraction form
    10,991.40/16,445.92 = 6,532.76/x
  3. Step 3: Cross multiply
    10,991.40x = 16,445.92 × 6,532.76
  4. Step 4: Simplify right side
    10,991.40x = 107,437,248.34
  5. Step 5: Solve for x
    x = 107,437,248.34/10,991.40
  6. Step 6: Final answer
    x = 9,774.66

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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.