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Finding the Fourth Proportional to 10,039.75, 13,854.85 and 5,563.49

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Solution

The fourth proportional to 10,039.75, 13,854.85 and 5,563.49 is: 7,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.75 : 13,854.85 = 5,563.49 : x
  2. Step 2: Convert to fraction form
    10,039.75/13,854.85 = 5,563.49/x
  3. Step 3: Cross multiply
    10,039.75x = 13,854.85 × 5,563.49
  4. Step 4: Simplify right side
    10,039.75x = 77,081,236.24
  5. Step 5: Solve for x
    x = 77,081,236.24/10,039.75
  6. Step 6: Final answer
    x = 7,677.61

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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.