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Finding the Fourth Proportional to 10,224.10, 15,340.74 and 4,956.22

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Solution

The fourth proportional to 10,224.10, 15,340.74 and 4,956.22 is: 7,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.10 : 15,340.74 = 4,956.22 : x
  2. Step 2: Convert to fraction form
    10,224.10/15,340.74 = 4,956.22/x
  3. Step 3: Cross multiply
    10,224.10x = 15,340.74 × 4,956.22
  4. Step 4: Simplify right side
    10,224.10x = 76,032,082.40
  5. Step 5: Solve for x
    x = 76,032,082.40/10,224.10
  6. Step 6: Final answer
    x = 7,436.56

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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.