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Finding the Fourth Proportional to 10,255.62, 15,382.67 and 3,235.88

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Solution

The fourth proportional to 10,255.62, 15,382.67 and 3,235.88 is: 4,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.62 : 15,382.67 = 3,235.88 : x
  2. Step 2: Convert to fraction form
    10,255.62/15,382.67 = 3,235.88/x
  3. Step 3: Cross multiply
    10,255.62x = 15,382.67 × 3,235.88
  4. Step 4: Simplify right side
    10,255.62x = 49,776,381.11
  5. Step 5: Solve for x
    x = 49,776,381.11/10,255.62
  6. Step 6: Final answer
    x = 4,853.57

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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.