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Finding the Fourth Proportional to 7,538.40, 11,311.92 and 5,559.84

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Solution

The fourth proportional to 7,538.40, 11,311.92 and 5,559.84 is: 8,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.40 : 11,311.92 = 5,559.84 : x
  2. Step 2: Convert to fraction form
    7,538.40/11,311.92 = 5,559.84/x
  3. Step 3: Cross multiply
    7,538.40x = 11,311.92 × 5,559.84
  4. Step 4: Simplify right side
    7,538.40x = 62,892,465.29
  5. Step 5: Solve for x
    x = 62,892,465.29/7,538.40
  6. Step 6: Final answer
    x = 8,342.95

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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.