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Finding the Fourth Proportional to 10,353.78, 15,530.85 and 3,428.46

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Solution

The fourth proportional to 10,353.78, 15,530.85 and 3,428.46 is: 5,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.78 : 15,530.85 = 3,428.46 : x
  2. Step 2: Convert to fraction form
    10,353.78/15,530.85 = 3,428.46/x
  3. Step 3: Cross multiply
    10,353.78x = 15,530.85 × 3,428.46
  4. Step 4: Simplify right side
    10,353.78x = 53,246,897.99
  5. Step 5: Solve for x
    x = 53,246,897.99/10,353.78
  6. Step 6: Final answer
    x = 5,142.75

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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.