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Finding the Fourth Proportional to 10,226.62, 14,113.62 and 5,751.49

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Solution

The fourth proportional to 10,226.62, 14,113.62 and 5,751.49 is: 7,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.62 : 14,113.62 = 5,751.49 : x
  2. Step 2: Convert to fraction form
    10,226.62/14,113.62 = 5,751.49/x
  3. Step 3: Cross multiply
    10,226.62x = 14,113.62 × 5,751.49
  4. Step 4: Simplify right side
    10,226.62x = 81,174,344.29
  5. Step 5: Solve for x
    x = 81,174,344.29/10,226.62
  6. Step 6: Final answer
    x = 7,937.55

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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.