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Finding the Fourth Proportional to 10,314.11, 15,446.75 and 6,552.44

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Solution

The fourth proportional to 10,314.11, 15,446.75 and 6,552.44 is: 9,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.11 : 15,446.75 = 6,552.44 : x
  2. Step 2: Convert to fraction form
    10,314.11/15,446.75 = 6,552.44/x
  3. Step 3: Cross multiply
    10,314.11x = 15,446.75 × 6,552.44
  4. Step 4: Simplify right side
    10,314.11x = 101,213,869.81
  5. Step 5: Solve for x
    x = 101,213,869.81/10,314.11
  6. Step 6: Final answer
    x = 9,813.15

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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.