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Finding the Fourth Proportional to 10,039.28, 13,853.86 and 5,563.22

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Solution

The fourth proportional to 10,039.28, 13,853.86 and 5,563.22 is: 7,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.28 : 13,853.86 = 5,563.22 : x
  2. Step 2: Convert to fraction form
    10,039.28/13,853.86 = 5,563.22/x
  3. Step 3: Cross multiply
    10,039.28x = 13,853.86 × 5,563.22
  4. Step 4: Simplify right side
    10,039.28x = 77,071,987.85
  5. Step 5: Solve for x
    x = 77,071,987.85/10,039.28
  6. Step 6: Final answer
    x = 7,677.05

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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.