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Finding the Fourth Proportional to 8,320.86, 12,476.97 and 4,617.54

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Solution

The fourth proportional to 8,320.86, 12,476.97 and 4,617.54 is: 6,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.86 : 12,476.97 = 4,617.54 : x
  2. Step 2: Convert to fraction form
    8,320.86/12,476.97 = 4,617.54/x
  3. Step 3: Cross multiply
    8,320.86x = 12,476.97 × 4,617.54
  4. Step 4: Simplify right side
    8,320.86x = 57,612,908.05
  5. Step 5: Solve for x
    x = 57,612,908.05/8,320.86
  6. Step 6: Final answer
    x = 6,923.91

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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.