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Finding the Fourth Proportional to 8,821.04, 12,171.48 and 5,637.20

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Solution

The fourth proportional to 8,821.04, 12,171.48 and 5,637.20 is: 7,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.04 : 12,171.48 = 5,637.20 : x
  2. Step 2: Convert to fraction form
    8,821.04/12,171.48 = 5,637.20/x
  3. Step 3: Cross multiply
    8,821.04x = 12,171.48 × 5,637.20
  4. Step 4: Simplify right side
    8,821.04x = 68,613,067.06
  5. Step 5: Solve for x
    x = 68,613,067.06/8,821.04
  6. Step 6: Final answer
    x = 7,778.34

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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.