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Finding the Fourth Proportional to 8,346.96, 12,474.32 and 6,695.78

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Solution

The fourth proportional to 8,346.96, 12,474.32 and 6,695.78 is: 10,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.96 : 12,474.32 = 6,695.78 : x
  2. Step 2: Convert to fraction form
    8,346.96/12,474.32 = 6,695.78/x
  3. Step 3: Cross multiply
    8,346.96x = 12,474.32 × 6,695.78
  4. Step 4: Simplify right side
    8,346.96x = 83,525,206.52
  5. Step 5: Solve for x
    x = 83,525,206.52/8,346.96
  6. Step 6: Final answer
    x = 10,006.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.