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Finding the Fourth Proportional to 10,131.70, 15,187.17 and 4,212.02

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Solution

The fourth proportional to 10,131.70, 15,187.17 and 4,212.02 is: 6,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.70 : 15,187.17 = 4,212.02 : x
  2. Step 2: Convert to fraction form
    10,131.70/15,187.17 = 4,212.02/x
  3. Step 3: Cross multiply
    10,131.70x = 15,187.17 × 4,212.02
  4. Step 4: Simplify right side
    10,131.70x = 63,968,687.03
  5. Step 5: Solve for x
    x = 63,968,687.03/10,131.70
  6. Step 6: Final answer
    x = 6,313.72

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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.