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Finding the Fourth Proportional to 10,285.46, 15,428.19 and 2,494.27

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Solution

The fourth proportional to 10,285.46, 15,428.19 and 2,494.27 is: 3,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.46 : 15,428.19 = 2,494.27 : x
  2. Step 2: Convert to fraction form
    10,285.46/15,428.19 = 2,494.27/x
  3. Step 3: Cross multiply
    10,285.46x = 15,428.19 × 2,494.27
  4. Step 4: Simplify right side
    10,285.46x = 38,482,071.47
  5. Step 5: Solve for x
    x = 38,482,071.47/10,285.46
  6. Step 6: Final answer
    x = 3,741.41

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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.