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Finding the Fourth Proportional to 8,383.74, 11,569.78 and 4,607

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Solution

The fourth proportional to 8,383.74, 11,569.78 and 4,607 is: 6,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.74 : 11,569.78 = 4,607 : x
  2. Step 2: Convert to fraction form
    8,383.74/11,569.78 = 4,607/x
  3. Step 3: Cross multiply
    8,383.74x = 11,569.78 × 4,607
  4. Step 4: Simplify right side
    8,383.74x = 53,301,976.46
  5. Step 5: Solve for x
    x = 53,301,976.46/8,383.74
  6. Step 6: Final answer
    x = 6,357.78

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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.