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Finding the Fourth Proportional to 8,547.80, 12,822.02 and 3,282.20

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Solution

The fourth proportional to 8,547.80, 12,822.02 and 3,282.20 is: 4,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.80 : 12,822.02 = 3,282.20 : x
  2. Step 2: Convert to fraction form
    8,547.80/12,822.02 = 3,282.20/x
  3. Step 3: Cross multiply
    8,547.80x = 12,822.02 × 3,282.20
  4. Step 4: Simplify right side
    8,547.80x = 42,084,434.04
  5. Step 5: Solve for x
    x = 42,084,434.04/8,547.80
  6. Step 6: Final answer
    x = 4,923.42

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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.