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Finding the Fourth Proportional to 11,206.44, 16,812.96 and 4,633

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Solution

The fourth proportional to 11,206.44, 16,812.96 and 4,633 is: 6,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.44 : 16,812.96 = 4,633 : x
  2. Step 2: Convert to fraction form
    11,206.44/16,812.96 = 4,633/x
  3. Step 3: Cross multiply
    11,206.44x = 16,812.96 × 4,633
  4. Step 4: Simplify right side
    11,206.44x = 77,894,443.68
  5. Step 5: Solve for x
    x = 77,894,443.68/11,206.44
  6. Step 6: Final answer
    x = 6,950.86

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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.