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Finding the Fourth Proportional to 8,729.82, 13,090.41 and 4,569.18

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Solution

The fourth proportional to 8,729.82, 13,090.41 and 4,569.18 is: 6,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.82 : 13,090.41 = 4,569.18 : x
  2. Step 2: Convert to fraction form
    8,729.82/13,090.41 = 4,569.18/x
  3. Step 3: Cross multiply
    8,729.82x = 13,090.41 × 4,569.18
  4. Step 4: Simplify right side
    8,729.82x = 59,812,439.56
  5. Step 5: Solve for x
    x = 59,812,439.56/8,729.82
  6. Step 6: Final answer
    x = 6,851.51

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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.