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Finding the Fourth Proportional to 7,749.52, 10,694.10 and 4,212.66

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Solution

The fourth proportional to 7,749.52, 10,694.10 and 4,212.66 is: 5,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.52 : 10,694.10 = 4,212.66 : x
  2. Step 2: Convert to fraction form
    7,749.52/10,694.10 = 4,212.66/x
  3. Step 3: Cross multiply
    7,749.52x = 10,694.10 × 4,212.66
  4. Step 4: Simplify right side
    7,749.52x = 45,050,607.31
  5. Step 5: Solve for x
    x = 45,050,607.31/7,749.52
  6. Step 6: Final answer
    x = 5,813.34

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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.