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Finding the Fourth Proportional to 10,086.65, 15,130.09 and 3,067.81

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Solution

The fourth proportional to 10,086.65, 15,130.09 and 3,067.81 is: 4,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.65 : 15,130.09 = 3,067.81 : x
  2. Step 2: Convert to fraction form
    10,086.65/15,130.09 = 3,067.81/x
  3. Step 3: Cross multiply
    10,086.65x = 15,130.09 × 3,067.81
  4. Step 4: Simplify right side
    10,086.65x = 46,416,150.41
  5. Step 5: Solve for x
    x = 46,416,150.41/10,086.65
  6. Step 6: Final answer
    x = 4,601.74

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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.