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Finding the Fourth Proportional to 7,269.40, 10,032.78 and 4,286.08

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Solution

The fourth proportional to 7,269.40, 10,032.78 and 4,286.08 is: 5,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.40 : 10,032.78 = 4,286.08 : x
  2. Step 2: Convert to fraction form
    7,269.40/10,032.78 = 4,286.08/x
  3. Step 3: Cross multiply
    7,269.40x = 10,032.78 × 4,286.08
  4. Step 4: Simplify right side
    7,269.40x = 43,001,297.70
  5. Step 5: Solve for x
    x = 43,001,297.70/7,269.40
  6. Step 6: Final answer
    x = 5,915.38

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Why These Related Problems?

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