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Finding the Fourth Proportional to 8,816.74, 13,218.63 and 4,202.98

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Solution

The fourth proportional to 8,816.74, 13,218.63 and 4,202.98 is: 6,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816.74 : 13,218.63 = 4,202.98 : x
  2. Step 2: Convert to fraction form
    8,816.74/13,218.63 = 4,202.98/x
  3. Step 3: Cross multiply
    8,816.74x = 13,218.63 × 4,202.98
  4. Step 4: Simplify right side
    8,816.74x = 55,557,637.52
  5. Step 5: Solve for x
    x = 55,557,637.52/8,816.74
  6. Step 6: Final answer
    x = 6,301.38

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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.