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Finding the Fourth Proportional to 10,252.56, 15,375.98 and 4,011.30

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Solution

The fourth proportional to 10,252.56, 15,375.98 and 4,011.30 is: 6,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.56 : 15,375.98 = 4,011.30 : x
  2. Step 2: Convert to fraction form
    10,252.56/15,375.98 = 4,011.30/x
  3. Step 3: Cross multiply
    10,252.56x = 15,375.98 × 4,011.30
  4. Step 4: Simplify right side
    10,252.56x = 61,677,668.57
  5. Step 5: Solve for x
    x = 61,677,668.57/10,252.56
  6. Step 6: Final answer
    x = 6,015.83

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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.