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Finding the Fourth Proportional to 8,320.50, 11,482.38 and 4,594.50

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Solution

The fourth proportional to 8,320.50, 11,482.38 and 4,594.50 is: 6,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.50 : 11,482.38 = 4,594.50 : x
  2. Step 2: Convert to fraction form
    8,320.50/11,482.38 = 4,594.50/x
  3. Step 3: Cross multiply
    8,320.50x = 11,482.38 × 4,594.50
  4. Step 4: Simplify right side
    8,320.50x = 52,755,794.91
  5. Step 5: Solve for x
    x = 52,755,794.91/8,320.50
  6. Step 6: Final answer
    x = 6,340.46

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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.