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Finding the Fourth Proportional to 10,081.63, 13,911.78 and 5,605.30

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Solution

The fourth proportional to 10,081.63, 13,911.78 and 5,605.30 is: 7,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.63 : 13,911.78 = 5,605.30 : x
  2. Step 2: Convert to fraction form
    10,081.63/13,911.78 = 5,605.30/x
  3. Step 3: Cross multiply
    10,081.63x = 13,911.78 × 5,605.30
  4. Step 4: Simplify right side
    10,081.63x = 77,979,700.43
  5. Step 5: Solve for x
    x = 77,979,700.43/10,081.63
  6. Step 6: Final answer
    x = 7,734.83

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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.