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Finding the Fourth Proportional to 8,320, 11,481.68 and 4,594.08

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Solution

The fourth proportional to 8,320, 11,481.68 and 4,594.08 is: 6,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320 : 11,481.68 = 4,594.08 : x
  2. Step 2: Convert to fraction form
    8,320/11,481.68 = 4,594.08/x
  3. Step 3: Cross multiply
    8,320x = 11,481.68 × 4,594.08
  4. Step 4: Simplify right side
    8,320x = 52,747,756.45
  5. Step 5: Solve for x
    x = 52,747,756.45/8,320
  6. Step 6: Final answer
    x = 6,339.87

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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.