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Finding the Fourth Proportional to 7,616.96, 10,514.64 and 4,633.76

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Solution

The fourth proportional to 7,616.96, 10,514.64 and 4,633.76 is: 6,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.96 : 10,514.64 = 4,633.76 : x
  2. Step 2: Convert to fraction form
    7,616.96/10,514.64 = 4,633.76/x
  3. Step 3: Cross multiply
    7,616.96x = 10,514.64 × 4,633.76
  4. Step 4: Simplify right side
    7,616.96x = 48,722,318.25
  5. Step 5: Solve for x
    x = 48,722,318.25/7,616.96
  6. Step 6: Final answer
    x = 6,396.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.