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Finding the Fourth Proportional to 8,326.74, 12,475.07 and 5,205.26

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Solution

The fourth proportional to 8,326.74, 12,475.07 and 5,205.26 is: 7,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.74 : 12,475.07 = 5,205.26 : x
  2. Step 2: Convert to fraction form
    8,326.74/12,475.07 = 5,205.26/x
  3. Step 3: Cross multiply
    8,326.74x = 12,475.07 × 5,205.26
  4. Step 4: Simplify right side
    8,326.74x = 64,935,982.87
  5. Step 5: Solve for x
    x = 64,935,982.87/8,326.74
  6. Step 6: Final answer
    x = 7,798.49

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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.