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Finding the Fourth Proportional to 10,187.10, 14,059 and 5,996.16

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Solution

The fourth proportional to 10,187.10, 14,059 and 5,996.16 is: 8,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.10 : 14,059 = 5,996.16 : x
  2. Step 2: Convert to fraction form
    10,187.10/14,059 = 5,996.16/x
  3. Step 3: Cross multiply
    10,187.10x = 14,059 × 5,996.16
  4. Step 4: Simplify right side
    10,187.10x = 84,299,943.15
  5. Step 5: Solve for x
    x = 84,299,943.15/10,187.10
  6. Step 6: Final answer
    x = 8,275.17

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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.