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Finding the Fourth Proportional to 10,222.90, 15,334.65 and 4,375.71

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Solution

The fourth proportional to 10,222.90, 15,334.65 and 4,375.71 is: 6,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.90 : 15,334.65 = 4,375.71 : x
  2. Step 2: Convert to fraction form
    10,222.90/15,334.65 = 4,375.71/x
  3. Step 3: Cross multiply
    10,222.90x = 15,334.65 × 4,375.71
  4. Step 4: Simplify right side
    10,222.90x = 67,099,981.35
  5. Step 5: Solve for x
    x = 67,099,981.35/10,222.90
  6. Step 6: Final answer
    x = 6,563.70

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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.