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Finding the Fourth Proportional to 8,902.65, 13,354.01 and 8,361.36

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Solution

The fourth proportional to 8,902.65, 13,354.01 and 8,361.36 is: 12,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.65 : 13,354.01 = 8,361.36 : x
  2. Step 2: Convert to fraction form
    8,902.65/13,354.01 = 8,361.36/x
  3. Step 3: Cross multiply
    8,902.65x = 13,354.01 × 8,361.36
  4. Step 4: Simplify right side
    8,902.65x = 111,657,643.25
  5. Step 5: Solve for x
    x = 111,657,643.25/8,902.65
  6. Step 6: Final answer
    x = 12,542.07

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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.