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Finding the Fourth Proportional to 10,605.42, 15,906.96 and 2,814.84

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Solution

The fourth proportional to 10,605.42, 15,906.96 and 2,814.84 is: 4,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.42 : 15,906.96 = 2,814.84 : x
  2. Step 2: Convert to fraction form
    10,605.42/15,906.96 = 2,814.84/x
  3. Step 3: Cross multiply
    10,605.42x = 15,906.96 × 2,814.84
  4. Step 4: Simplify right side
    10,605.42x = 44,775,547.29
  5. Step 5: Solve for x
    x = 44,775,547.29/10,605.42
  6. Step 6: Final answer
    x = 4,221.95

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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.