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Finding the Fourth Proportional to 10,744.68, 14,822.18 and 6,758.24

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Solution

The fourth proportional to 10,744.68, 14,822.18 and 6,758.24 is: 9,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.68 : 14,822.18 = 6,758.24 : x
  2. Step 2: Convert to fraction form
    10,744.68/14,822.18 = 6,758.24/x
  3. Step 3: Cross multiply
    10,744.68x = 14,822.18 × 6,758.24
  4. Step 4: Simplify right side
    10,744.68x = 100,171,849.76
  5. Step 5: Solve for x
    x = 100,171,849.76/10,744.68
  6. Step 6: Final answer
    x = 9,322.93

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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.