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Finding the Fourth Proportional to 8,395, 11,585.46 and 4,669

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Solution

The fourth proportional to 8,395, 11,585.46 and 4,669 is: 6,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395 : 11,585.46 = 4,669 : x
  2. Step 2: Convert to fraction form
    8,395/11,585.46 = 4,669/x
  3. Step 3: Cross multiply
    8,395x = 11,585.46 × 4,669
  4. Step 4: Simplify right side
    8,395x = 54,092,512.74
  5. Step 5: Solve for x
    x = 54,092,512.74/8,395
  6. Step 6: Final answer
    x = 6,443.42

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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.