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Finding the Fourth Proportional to 10,193.36, 15,285.87 and 3,952.17

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Solution

The fourth proportional to 10,193.36, 15,285.87 and 3,952.17 is: 5,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.36 : 15,285.87 = 3,952.17 : x
  2. Step 2: Convert to fraction form
    10,193.36/15,285.87 = 3,952.17/x
  3. Step 3: Cross multiply
    10,193.36x = 15,285.87 × 3,952.17
  4. Step 4: Simplify right side
    10,193.36x = 60,412,356.84
  5. Step 5: Solve for x
    x = 60,412,356.84/10,193.36
  6. Step 6: Final answer
    x = 5,926.64

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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.