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Finding the Fourth Proportional to 7,558.40, 11,326.44 and 3,658.16

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Solution

The fourth proportional to 7,558.40, 11,326.44 and 3,658.16 is: 5,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.40 : 11,326.44 = 3,658.16 : x
  2. Step 2: Convert to fraction form
    7,558.40/11,326.44 = 3,658.16/x
  3. Step 3: Cross multiply
    7,558.40x = 11,326.44 × 3,658.16
  4. Step 4: Simplify right side
    7,558.40x = 41,433,929.75
  5. Step 5: Solve for x
    x = 41,433,929.75/7,558.40
  6. Step 6: Final answer
    x = 5,481.84

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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.