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Finding the Fourth Proportional to 10,398.40, 15,598.50 and 3,824.80

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Solution

The fourth proportional to 10,398.40, 15,598.50 and 3,824.80 is: 5,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.40 : 15,598.50 = 3,824.80 : x
  2. Step 2: Convert to fraction form
    10,398.40/15,598.50 = 3,824.80/x
  3. Step 3: Cross multiply
    10,398.40x = 15,598.50 × 3,824.80
  4. Step 4: Simplify right side
    10,398.40x = 59,661,142.80
  5. Step 5: Solve for x
    x = 59,661,142.80/10,398.40
  6. Step 6: Final answer
    x = 5,737.53

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