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Finding the Fourth Proportional to 10,398.47, 15,599.79 and 3,824.51

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Solution

The fourth proportional to 10,398.47, 15,599.79 and 3,824.51 is: 5,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.47 : 15,599.79 = 3,824.51 : x
  2. Step 2: Convert to fraction form
    10,398.47/15,599.79 = 3,824.51/x
  3. Step 3: Cross multiply
    10,398.47x = 15,599.79 × 3,824.51
  4. Step 4: Simplify right side
    10,398.47x = 59,661,474.85
  5. Step 5: Solve for x
    x = 59,661,474.85/10,398.47
  6. Step 6: Final answer
    x = 5,737.53

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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.