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Finding the Fourth Proportional to 10,189.90, 14,061.09 and 5,712.63

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Solution

The fourth proportional to 10,189.90, 14,061.09 and 5,712.63 is: 7,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.90 : 14,061.09 = 5,712.63 : x
  2. Step 2: Convert to fraction form
    10,189.90/14,061.09 = 5,712.63/x
  3. Step 3: Cross multiply
    10,189.90x = 14,061.09 × 5,712.63
  4. Step 4: Simplify right side
    10,189.90x = 80,325,804.57
  5. Step 5: Solve for x
    x = 80,325,804.57/10,189.90
  6. Step 6: Final answer
    x = 7,882.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.