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Finding the Fourth Proportional to 7,633.17, 11,449.80 and 3,016.17

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Solution

The fourth proportional to 7,633.17, 11,449.80 and 3,016.17 is: 4,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.17 : 11,449.80 = 3,016.17 : x
  2. Step 2: Convert to fraction form
    7,633.17/11,449.80 = 3,016.17/x
  3. Step 3: Cross multiply
    7,633.17x = 11,449.80 × 3,016.17
  4. Step 4: Simplify right side
    7,633.17x = 34,534,543.27
  5. Step 5: Solve for x
    x = 34,534,543.27/7,633.17
  6. Step 6: Final answer
    x = 4,524.27

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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.