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Finding the Fourth Proportional to 7,169.13, 10,753.70 and 4,212.09

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Solution

The fourth proportional to 7,169.13, 10,753.70 and 4,212.09 is: 6,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.13 : 10,753.70 = 4,212.09 : x
  2. Step 2: Convert to fraction form
    7,169.13/10,753.70 = 4,212.09/x
  3. Step 3: Cross multiply
    7,169.13x = 10,753.70 × 4,212.09
  4. Step 4: Simplify right side
    7,169.13x = 45,295,531.17
  5. Step 5: Solve for x
    x = 45,295,531.17/7,169.13
  6. Step 6: Final answer
    x = 6,318.14

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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.