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Finding the Fourth Proportional to 8,569.44, 11,823.92 and 5,214

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Solution

The fourth proportional to 8,569.44, 11,823.92 and 5,214 is: 7,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.44 : 11,823.92 = 5,214 : x
  2. Step 2: Convert to fraction form
    8,569.44/11,823.92 = 5,214/x
  3. Step 3: Cross multiply
    8,569.44x = 11,823.92 × 5,214
  4. Step 4: Simplify right side
    8,569.44x = 61,649,918.88
  5. Step 5: Solve for x
    x = 61,649,918.88/8,569.44
  6. Step 6: Final answer
    x = 7,194.16

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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.