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Finding the Fourth Proportional to 10,414.71, 15,618.83 and 3,019.68

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Solution

The fourth proportional to 10,414.71, 15,618.83 and 3,019.68 is: 4,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.71 : 15,618.83 = 3,019.68 : x
  2. Step 2: Convert to fraction form
    10,414.71/15,618.83 = 3,019.68/x
  3. Step 3: Cross multiply
    10,414.71x = 15,618.83 × 3,019.68
  4. Step 4: Simplify right side
    10,414.71x = 47,163,853.48
  5. Step 5: Solve for x
    x = 47,163,853.48/10,414.71
  6. Step 6: Final answer
    x = 4,528.58

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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.