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Finding the Fourth Proportional to 10,083.97, 15,130.20 and 5,402.80

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Solution

The fourth proportional to 10,083.97, 15,130.20 and 5,402.80 is: 8,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.97 : 15,130.20 = 5,402.80 : x
  2. Step 2: Convert to fraction form
    10,083.97/15,130.20 = 5,402.80/x
  3. Step 3: Cross multiply
    10,083.97x = 15,130.20 × 5,402.80
  4. Step 4: Simplify right side
    10,083.97x = 81,745,444.56
  5. Step 5: Solve for x
    x = 81,745,444.56/10,083.97
  6. Step 6: Final answer
    x = 8,106.47

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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.