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Finding the Fourth Proportional to 8,582.73, 11,844.26 and 5,046

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Solution

The fourth proportional to 8,582.73, 11,844.26 and 5,046 is: 6,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.73 : 11,844.26 = 5,046 : x
  2. Step 2: Convert to fraction form
    8,582.73/11,844.26 = 5,046/x
  3. Step 3: Cross multiply
    8,582.73x = 11,844.26 × 5,046
  4. Step 4: Simplify right side
    8,582.73x = 59,766,110.73
  5. Step 5: Solve for x
    x = 59,766,110.73/8,582.73
  6. Step 6: Final answer
    x = 6,963.53

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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.