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Finding the Fourth Proportional to 10,042.17, 15,063.33 and 4,114.89

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Solution

The fourth proportional to 10,042.17, 15,063.33 and 4,114.89 is: 6,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.17 : 15,063.33 = 4,114.89 : x
  2. Step 2: Convert to fraction form
    10,042.17/15,063.33 = 4,114.89/x
  3. Step 3: Cross multiply
    10,042.17x = 15,063.33 × 4,114.89
  4. Step 4: Simplify right side
    10,042.17x = 61,983,945.98
  5. Step 5: Solve for x
    x = 61,983,945.98/10,042.17
  6. Step 6: Final answer
    x = 6,172.37

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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.