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Finding the Fourth Proportional to 7,126.75, 10,686.21 and 2,444.14

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Solution

The fourth proportional to 7,126.75, 10,686.21 and 2,444.14 is: 3,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.75 : 10,686.21 = 2,444.14 : x
  2. Step 2: Convert to fraction form
    7,126.75/10,686.21 = 2,444.14/x
  3. Step 3: Cross multiply
    7,126.75x = 10,686.21 × 2,444.14
  4. Step 4: Simplify right side
    7,126.75x = 26,118,593.31
  5. Step 5: Solve for x
    x = 26,118,593.31/7,126.75
  6. Step 6: Final answer
    x = 3,664.87

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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.