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Finding the Fourth Proportional to 10,083.84, 15,121.92 and 4,608

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Solution

The fourth proportional to 10,083.84, 15,121.92 and 4,608 is: 6,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.84 : 15,121.92 = 4,608 : x
  2. Step 2: Convert to fraction form
    10,083.84/15,121.92 = 4,608/x
  3. Step 3: Cross multiply
    10,083.84x = 15,121.92 × 4,608
  4. Step 4: Simplify right side
    10,083.84x = 69,681,807.36
  5. Step 5: Solve for x
    x = 69,681,807.36/10,083.84
  6. Step 6: Final answer
    x = 6,910.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.