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Finding the Fourth Proportional to 10,040.18, 13,855.54 and 5,563.99

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Solution

The fourth proportional to 10,040.18, 13,855.54 and 5,563.99 is: 7,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.18 : 13,855.54 = 5,563.99 : x
  2. Step 2: Convert to fraction form
    10,040.18/13,855.54 = 5,563.99/x
  3. Step 3: Cross multiply
    10,040.18x = 13,855.54 × 5,563.99
  4. Step 4: Simplify right side
    10,040.18x = 77,092,037.46
  5. Step 5: Solve for x
    x = 77,092,037.46/10,040.18
  6. Step 6: Final answer
    x = 7,678.36

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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.