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Finding the Fourth Proportional to 10,397.14, 15,595.22 and 3,822.84

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Solution

The fourth proportional to 10,397.14, 15,595.22 and 3,822.84 is: 5,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.14 : 15,595.22 = 3,822.84 : x
  2. Step 2: Convert to fraction form
    10,397.14/15,595.22 = 3,822.84/x
  3. Step 3: Cross multiply
    10,397.14x = 15,595.22 × 3,822.84
  4. Step 4: Simplify right side
    10,397.14x = 59,618,040.38
  5. Step 5: Solve for x
    x = 59,618,040.38/10,397.14
  6. Step 6: Final answer
    x = 5,734.08

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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.