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Finding the Fourth Proportional to 10,107.46, 13,948.31 and 5,859.34

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Solution

The fourth proportional to 10,107.46, 13,948.31 and 5,859.34 is: 8,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.46 : 13,948.31 = 5,859.34 : x
  2. Step 2: Convert to fraction form
    10,107.46/13,948.31 = 5,859.34/x
  3. Step 3: Cross multiply
    10,107.46x = 13,948.31 × 5,859.34
  4. Step 4: Simplify right side
    10,107.46x = 81,727,890.72
  5. Step 5: Solve for x
    x = 81,727,890.72/10,107.46
  6. Step 6: Final answer
    x = 8,085.90

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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.