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Finding the Fourth Proportional to 6,922.58, 10,381.14 and 3,024.26

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Solution

The fourth proportional to 6,922.58, 10,381.14 and 3,024.26 is: 4,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.58 : 10,381.14 = 3,024.26 : x
  2. Step 2: Convert to fraction form
    6,922.58/10,381.14 = 3,024.26/x
  3. Step 3: Cross multiply
    6,922.58x = 10,381.14 × 3,024.26
  4. Step 4: Simplify right side
    6,922.58x = 31,395,266.46
  5. Step 5: Solve for x
    x = 31,395,266.46/6,922.58
  6. Step 6: Final answer
    x = 4,535.20

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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.