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Finding the Fourth Proportional to 7,616.91, 11,394.57 and 6,588.34

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Solution

The fourth proportional to 7,616.91, 11,394.57 and 6,588.34 is: 9,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.91 : 11,394.57 = 6,588.34 : x
  2. Step 2: Convert to fraction form
    7,616.91/11,394.57 = 6,588.34/x
  3. Step 3: Cross multiply
    7,616.91x = 11,394.57 × 6,588.34
  4. Step 4: Simplify right side
    7,616.91x = 75,071,297.53
  5. Step 5: Solve for x
    x = 75,071,297.53/7,616.91
  6. Step 6: Final answer
    x = 9,855.87

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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.