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Finding the Fourth Proportional to 7,702.74, 10,629.09 and 4,344.66

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Solution

The fourth proportional to 7,702.74, 10,629.09 and 4,344.66 is: 5,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.74 : 10,629.09 = 4,344.66 : x
  2. Step 2: Convert to fraction form
    7,702.74/10,629.09 = 4,344.66/x
  3. Step 3: Cross multiply
    7,702.74x = 10,629.09 × 4,344.66
  4. Step 4: Simplify right side
    7,702.74x = 46,179,782.16
  5. Step 5: Solve for x
    x = 46,179,782.16/7,702.74
  6. Step 6: Final answer
    x = 5,995.24

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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.