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Finding the Fourth Proportional to 10,040.00, 13,855.31 and 5,563.82

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Solution

The fourth proportional to 10,040.00, 13,855.31 and 5,563.82 is: 7,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.00 : 13,855.31 = 5,563.82 : x
  2. Step 2: Convert to fraction form
    10,040.00/13,855.31 = 5,563.82/x
  3. Step 3: Cross multiply
    10,040.00x = 13,855.31 × 5,563.82
  4. Step 4: Simplify right side
    10,040.00x = 77,088,478.57
  5. Step 5: Solve for x
    x = 77,088,478.57/10,040.00
  6. Step 6: Final answer
    x = 7,678.14

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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.