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Finding the Fourth Proportional to 10,039.78, 13,854.97 and 5,563.60

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Solution

The fourth proportional to 10,039.78, 13,854.97 and 5,563.60 is: 7,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.78 : 13,854.97 = 5,563.60 : x
  2. Step 2: Convert to fraction form
    10,039.78/13,854.97 = 5,563.60/x
  3. Step 3: Cross multiply
    10,039.78x = 13,854.97 × 5,563.60
  4. Step 4: Simplify right side
    10,039.78x = 77,083,559.64
  5. Step 5: Solve for x
    x = 77,083,559.64/10,039.78
  6. Step 6: Final answer
    x = 7,677.82

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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.