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Finding the Fourth Proportional to 7,429.81, 10,253.34 and 4,286.20

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Solution

The fourth proportional to 7,429.81, 10,253.34 and 4,286.20 is: 5,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.81 : 10,253.34 = 4,286.20 : x
  2. Step 2: Convert to fraction form
    7,429.81/10,253.34 = 4,286.20/x
  3. Step 3: Cross multiply
    7,429.81x = 10,253.34 × 4,286.20
  4. Step 4: Simplify right side
    7,429.81x = 43,947,865.91
  5. Step 5: Solve for x
    x = 43,947,865.91/7,429.81
  6. Step 6: Final answer
    x = 5,915.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.