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Finding the Fourth Proportional to 10,512.53, 15,758.16 and 6,817.11

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Solution

The fourth proportional to 10,512.53, 15,758.16 and 6,817.11 is: 10,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.53 : 15,758.16 = 6,817.11 : x
  2. Step 2: Convert to fraction form
    10,512.53/15,758.16 = 6,817.11/x
  3. Step 3: Cross multiply
    10,512.53x = 15,758.16 × 6,817.11
  4. Step 4: Simplify right side
    10,512.53x = 107,425,025.46
  5. Step 5: Solve for x
    x = 107,425,025.46/10,512.53
  6. Step 6: Final answer
    x = 10,218.76

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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.