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Finding the Fourth Proportional to 8,569.54, 11,841.36 and 6,685.84

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Solution

The fourth proportional to 8,569.54, 11,841.36 and 6,685.84 is: 9,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.54 : 11,841.36 = 6,685.84 : x
  2. Step 2: Convert to fraction form
    8,569.54/11,841.36 = 6,685.84/x
  3. Step 3: Cross multiply
    8,569.54x = 11,841.36 × 6,685.84
  4. Step 4: Simplify right side
    8,569.54x = 79,169,438.34
  5. Step 5: Solve for x
    x = 79,169,438.34/8,569.54
  6. Step 6: Final answer
    x = 9,238.47

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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.