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Finding the Fourth Proportional to 10,039.44, 13,854.73 and 5,562.77

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Solution

The fourth proportional to 10,039.44, 13,854.73 and 5,562.77 is: 7,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.44 : 13,854.73 = 5,562.77 : x
  2. Step 2: Convert to fraction form
    10,039.44/13,854.73 = 5,562.77/x
  3. Step 3: Cross multiply
    10,039.44x = 13,854.73 × 5,562.77
  4. Step 4: Simplify right side
    10,039.44x = 77,070,676.40
  5. Step 5: Solve for x
    x = 77,070,676.40/10,039.44
  6. Step 6: Final answer
    x = 7,676.79

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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.