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Finding the Fourth Proportional to 11,640.40, 16,058.54 and 7,760.72

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Solution

The fourth proportional to 11,640.40, 16,058.54 and 7,760.72 is: 10,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.40 : 16,058.54 = 7,760.72 : x
  2. Step 2: Convert to fraction form
    11,640.40/16,058.54 = 7,760.72/x
  3. Step 3: Cross multiply
    11,640.40x = 16,058.54 × 7,760.72
  4. Step 4: Simplify right side
    11,640.40x = 124,625,832.55
  5. Step 5: Solve for x
    x = 124,625,832.55/11,640.40
  6. Step 6: Final answer
    x = 10,706.32

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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.