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Finding the Fourth Proportional to 10,314.25, 15,446.54 and 6,604.99

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Solution

The fourth proportional to 10,314.25, 15,446.54 and 6,604.99 is: 9,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.25 : 15,446.54 = 6,604.99 : x
  2. Step 2: Convert to fraction form
    10,314.25/15,446.54 = 6,604.99/x
  3. Step 3: Cross multiply
    10,314.25x = 15,446.54 × 6,604.99
  4. Step 4: Simplify right side
    10,314.25x = 102,024,209.21
  5. Step 5: Solve for x
    x = 102,024,209.21/10,314.25
  6. Step 6: Final answer
    x = 9,891.58

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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.