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Finding the Fourth Proportional to 8,320.56, 11,482.44 and 4,594.56

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Solution

The fourth proportional to 8,320.56, 11,482.44 and 4,594.56 is: 6,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.56 : 11,482.44 = 4,594.56 : x
  2. Step 2: Convert to fraction form
    8,320.56/11,482.44 = 4,594.56/x
  3. Step 3: Cross multiply
    8,320.56x = 11,482.44 × 4,594.56
  4. Step 4: Simplify right side
    8,320.56x = 52,756,759.53
  5. Step 5: Solve for x
    x = 52,756,759.53/8,320.56
  6. Step 6: Final answer
    x = 6,340.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.