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Finding the Fourth Proportional to 6,686.46, 10,019.52 and 5,293.98

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Solution

The fourth proportional to 6,686.46, 10,019.52 and 5,293.98 is: 7,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.46 : 10,019.52 = 5,293.98 : x
  2. Step 2: Convert to fraction form
    6,686.46/10,019.52 = 5,293.98/x
  3. Step 3: Cross multiply
    6,686.46x = 10,019.52 × 5,293.98
  4. Step 4: Simplify right side
    6,686.46x = 53,043,138.49
  5. Step 5: Solve for x
    x = 53,043,138.49/6,686.46
  6. Step 6: Final answer
    x = 7,932.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.