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Finding the Fourth Proportional to 10,152.41, 15,229.08 and 3,578.66

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Solution

The fourth proportional to 10,152.41, 15,229.08 and 3,578.66 is: 5,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.41 : 15,229.08 = 3,578.66 : x
  2. Step 2: Convert to fraction form
    10,152.41/15,229.08 = 3,578.66/x
  3. Step 3: Cross multiply
    10,152.41x = 15,229.08 × 3,578.66
  4. Step 4: Simplify right side
    10,152.41x = 54,499,699.43
  5. Step 5: Solve for x
    x = 54,499,699.43/10,152.41
  6. Step 6: Final answer
    x = 5,368.15

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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.