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Finding the Fourth Proportional to 7,806.48, 11,702.92 and 3,644.40

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Solution

The fourth proportional to 7,806.48, 11,702.92 and 3,644.40 is: 5,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.48 : 11,702.92 = 3,644.40 : x
  2. Step 2: Convert to fraction form
    7,806.48/11,702.92 = 3,644.40/x
  3. Step 3: Cross multiply
    7,806.48x = 11,702.92 × 3,644.40
  4. Step 4: Simplify right side
    7,806.48x = 42,650,121.65
  5. Step 5: Solve for x
    x = 42,650,121.65/7,806.48
  6. Step 6: Final answer
    x = 5,463.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.