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Finding the Fourth Proportional to 7,292.31, 10,063.17 and 4,105.77

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Solution

The fourth proportional to 7,292.31, 10,063.17 and 4,105.77 is: 5,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.31 : 10,063.17 = 4,105.77 : x
  2. Step 2: Convert to fraction form
    7,292.31/10,063.17 = 4,105.77/x
  3. Step 3: Cross multiply
    7,292.31x = 10,063.17 × 4,105.77
  4. Step 4: Simplify right side
    7,292.31x = 41,317,061.49
  5. Step 5: Solve for x
    x = 41,317,061.49/7,292.31
  6. Step 6: Final answer
    x = 5,665.84

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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.