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Finding the Fourth Proportional to 10,019.54, 13,826.89 and 5,988.21

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Solution

The fourth proportional to 10,019.54, 13,826.89 and 5,988.21 is: 8,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.54 : 13,826.89 = 5,988.21 : x
  2. Step 2: Convert to fraction form
    10,019.54/13,826.89 = 5,988.21/x
  3. Step 3: Cross multiply
    10,019.54x = 13,826.89 × 5,988.21
  4. Step 4: Simplify right side
    10,019.54x = 82,798,320.97
  5. Step 5: Solve for x
    x = 82,798,320.97/10,019.54
  6. Step 6: Final answer
    x = 8,263.68

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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.