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Finding the Fourth Proportional to 7,703.07, 10,630.17 and 4,166.29

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Solution

The fourth proportional to 7,703.07, 10,630.17 and 4,166.29 is: 5,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.07 : 10,630.17 = 4,166.29 : x
  2. Step 2: Convert to fraction form
    7,703.07/10,630.17 = 4,166.29/x
  3. Step 3: Cross multiply
    7,703.07x = 10,630.17 × 4,166.29
  4. Step 4: Simplify right side
    7,703.07x = 44,288,370.97
  5. Step 5: Solve for x
    x = 44,288,370.97/7,703.07
  6. Step 6: Final answer
    x = 5,749.44

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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.