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Finding the Fourth Proportional to 10,017.69, 13,824.91 and 6,040.08

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Solution

The fourth proportional to 10,017.69, 13,824.91 and 6,040.08 is: 8,335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.69 : 13,824.91 = 6,040.08 : x
  2. Step 2: Convert to fraction form
    10,017.69/13,824.91 = 6,040.08/x
  3. Step 3: Cross multiply
    10,017.69x = 13,824.91 × 6,040.08
  4. Step 4: Simplify right side
    10,017.69x = 83,503,569.94
  5. Step 5: Solve for x
    x = 83,503,569.94/10,017.69
  6. Step 6: Final answer
    x = 8,335.61

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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.