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Finding the Fourth Proportional to 10,428.28, 15,626.74 and 4,182.12

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Solution

The fourth proportional to 10,428.28, 15,626.74 and 4,182.12 is: 6,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.28 : 15,626.74 = 4,182.12 : x
  2. Step 2: Convert to fraction form
    10,428.28/15,626.74 = 4,182.12/x
  3. Step 3: Cross multiply
    10,428.28x = 15,626.74 × 4,182.12
  4. Step 4: Simplify right side
    10,428.28x = 65,352,901.89
  5. Step 5: Solve for x
    x = 65,352,901.89/10,428.28
  6. Step 6: Final answer
    x = 6,266.89

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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.