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Finding the Fourth Proportional to 10,282.69, 15,424.04 and 3,357.19

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Solution

The fourth proportional to 10,282.69, 15,424.04 and 3,357.19 is: 5,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.69 : 15,424.04 = 3,357.19 : x
  2. Step 2: Convert to fraction form
    10,282.69/15,424.04 = 3,357.19/x
  3. Step 3: Cross multiply
    10,282.69x = 15,424.04 × 3,357.19
  4. Step 4: Simplify right side
    10,282.69x = 51,781,416.06
  5. Step 5: Solve for x
    x = 51,781,416.06/10,282.69
  6. Step 6: Final answer
    x = 5,035.79

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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.