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Finding the Fourth Proportional to 10,039.57, 13,855.16 and 5,563.22

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Solution

The fourth proportional to 10,039.57, 13,855.16 and 5,563.22 is: 7,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.57 : 13,855.16 = 5,563.22 : x
  2. Step 2: Convert to fraction form
    10,039.57/13,855.16 = 5,563.22/x
  3. Step 3: Cross multiply
    10,039.57x = 13,855.16 × 5,563.22
  4. Step 4: Simplify right side
    10,039.57x = 77,079,349.10
  5. Step 5: Solve for x
    x = 77,079,349.10/10,039.57
  6. Step 6: Final answer
    x = 7,677.55

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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.