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Finding the Fourth Proportional to 10,040.30, 13,855.42 and 5,564.03

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Solution

The fourth proportional to 10,040.30, 13,855.42 and 5,564.03 is: 7,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.30 : 13,855.42 = 5,564.03 : x
  2. Step 2: Convert to fraction form
    10,040.30/13,855.42 = 5,564.03/x
  3. Step 3: Cross multiply
    10,040.30x = 13,855.42 × 5,564.03
  4. Step 4: Simplify right side
    10,040.30x = 77,091,972.54
  5. Step 5: Solve for x
    x = 77,091,972.54/10,040.30
  6. Step 6: Final answer
    x = 7,678.25

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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.