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Finding the Fourth Proportional to 10,072.55, 15,106.93 and 4,229.21

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Solution

The fourth proportional to 10,072.55, 15,106.93 and 4,229.21 is: 6,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.55 : 15,106.93 = 4,229.21 : x
  2. Step 2: Convert to fraction form
    10,072.55/15,106.93 = 4,229.21/x
  3. Step 3: Cross multiply
    10,072.55x = 15,106.93 × 4,229.21
  4. Step 4: Simplify right side
    10,072.55x = 63,890,379.43
  5. Step 5: Solve for x
    x = 63,890,379.43/10,072.55
  6. Step 6: Final answer
    x = 6,343.02

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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.