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Finding the Fourth Proportional to 10,110.89, 15,152.49 and 6,415.71

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Solution

The fourth proportional to 10,110.89, 15,152.49 and 6,415.71 is: 9,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110.89 : 15,152.49 = 6,415.71 : x
  2. Step 2: Convert to fraction form
    10,110.89/15,152.49 = 6,415.71/x
  3. Step 3: Cross multiply
    10,110.89x = 15,152.49 × 6,415.71
  4. Step 4: Simplify right side
    10,110.89x = 97,213,949.54
  5. Step 5: Solve for x
    x = 97,213,949.54/10,110.89
  6. Step 6: Final answer
    x = 9,614.78

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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.