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Finding the Fourth Proportional to 7,524.41, 11,303.92 and 5,308.34

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Solution

The fourth proportional to 7,524.41, 11,303.92 and 5,308.34 is: 7,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.41 : 11,303.92 = 5,308.34 : x
  2. Step 2: Convert to fraction form
    7,524.41/11,303.92 = 5,308.34/x
  3. Step 3: Cross multiply
    7,524.41x = 11,303.92 × 5,308.34
  4. Step 4: Simplify right side
    7,524.41x = 60,005,065.68
  5. Step 5: Solve for x
    x = 60,005,065.68/7,524.41
  6. Step 6: Final answer
    x = 7,974.72

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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.