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Finding the Fourth Proportional to 10,089.63, 15,102.09 and 5,397.90

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Solution

The fourth proportional to 10,089.63, 15,102.09 and 5,397.90 is: 8,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.63 : 15,102.09 = 5,397.90 : x
  2. Step 2: Convert to fraction form
    10,089.63/15,102.09 = 5,397.90/x
  3. Step 3: Cross multiply
    10,089.63x = 15,102.09 × 5,397.90
  4. Step 4: Simplify right side
    10,089.63x = 81,519,571.61
  5. Step 5: Solve for x
    x = 81,519,571.61/10,089.63
  6. Step 6: Final answer
    x = 8,079.54

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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.