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Finding the Fourth Proportional to 7,348.86, 10,142.21 and 4,516.29

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Solution

The fourth proportional to 7,348.86, 10,142.21 and 4,516.29 is: 6,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.86 : 10,142.21 = 4,516.29 : x
  2. Step 2: Convert to fraction form
    7,348.86/10,142.21 = 4,516.29/x
  3. Step 3: Cross multiply
    7,348.86x = 10,142.21 × 4,516.29
  4. Step 4: Simplify right side
    7,348.86x = 45,805,172.89
  5. Step 5: Solve for x
    x = 45,805,172.89/7,348.86
  6. Step 6: Final answer
    x = 6,232.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.