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Finding the Fourth Proportional to 10,398.26, 15,597.82 and 3,820.84

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Solution

The fourth proportional to 10,398.26, 15,597.82 and 3,820.84 is: 5,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.26 : 15,597.82 = 3,820.84 : x
  2. Step 2: Convert to fraction form
    10,398.26/15,597.82 = 3,820.84/x
  3. Step 3: Cross multiply
    10,398.26x = 15,597.82 × 3,820.84
  4. Step 4: Simplify right side
    10,398.26x = 59,596,774.57
  5. Step 5: Solve for x
    x = 59,596,774.57/10,398.26
  6. Step 6: Final answer
    x = 5,731.42

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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.