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Finding the Fourth Proportional to 10,317.84, 15,453.28 and 8,082.72

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Solution

The fourth proportional to 10,317.84, 15,453.28 and 8,082.72 is: 12,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.84 : 15,453.28 = 8,082.72 : x
  2. Step 2: Convert to fraction form
    10,317.84/15,453.28 = 8,082.72/x
  3. Step 3: Cross multiply
    10,317.84x = 15,453.28 × 8,082.72
  4. Step 4: Simplify right side
    10,317.84x = 124,904,535.32
  5. Step 5: Solve for x
    x = 124,904,535.32/10,317.84
  6. Step 6: Final answer
    x = 12,105.69

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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.