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Finding the Fourth Proportional to 7,408.28, 11,065.12 and 6,704.42

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Solution

The fourth proportional to 7,408.28, 11,065.12 and 6,704.42 is: 10,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.28 : 11,065.12 = 6,704.42 : x
  2. Step 2: Convert to fraction form
    7,408.28/11,065.12 = 6,704.42/x
  3. Step 3: Cross multiply
    7,408.28x = 11,065.12 × 6,704.42
  4. Step 4: Simplify right side
    7,408.28x = 74,185,139.74
  5. Step 5: Solve for x
    x = 74,185,139.74/7,408.28
  6. Step 6: Final answer
    x = 10,013.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.