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Finding the Fourth Proportional to 10,078.93, 15,106.10 and 5,687.31

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Solution

The fourth proportional to 10,078.93, 15,106.10 and 5,687.31 is: 8,524.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.93 : 15,106.10 = 5,687.31 : x
  2. Step 2: Convert to fraction form
    10,078.93/15,106.10 = 5,687.31/x
  3. Step 3: Cross multiply
    10,078.93x = 15,106.10 × 5,687.31
  4. Step 4: Simplify right side
    10,078.93x = 85,913,101.80
  5. Step 5: Solve for x
    x = 85,913,101.80/10,078.93
  6. Step 6: Final answer
    x = 8,524.03

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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.