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Finding the Fourth Proportional to 10,175.88, 15,264.08 and 3,250.38

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Solution

The fourth proportional to 10,175.88, 15,264.08 and 3,250.38 is: 4,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.88 : 15,264.08 = 3,250.38 : x
  2. Step 2: Convert to fraction form
    10,175.88/15,264.08 = 3,250.38/x
  3. Step 3: Cross multiply
    10,175.88x = 15,264.08 × 3,250.38
  4. Step 4: Simplify right side
    10,175.88x = 49,614,060.35
  5. Step 5: Solve for x
    x = 49,614,060.35/10,175.88
  6. Step 6: Final answer
    x = 4,875.65

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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.