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Finding the Fourth Proportional to 8,417.07, 11,616.25 and 4,640.58

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Solution

The fourth proportional to 8,417.07, 11,616.25 and 4,640.58 is: 6,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.07 : 11,616.25 = 4,640.58 : x
  2. Step 2: Convert to fraction form
    8,417.07/11,616.25 = 4,640.58/x
  3. Step 3: Cross multiply
    8,417.07x = 11,616.25 × 4,640.58
  4. Step 4: Simplify right side
    8,417.07x = 53,906,125.82
  5. Step 5: Solve for x
    x = 53,906,125.82/8,417.07
  6. Step 6: Final answer
    x = 6,404.38

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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.