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Finding the Fourth Proportional to 8,568.84, 11,841.38 and 6,186.68

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Solution

The fourth proportional to 8,568.84, 11,841.38 and 6,186.68 is: 8,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.84 : 11,841.38 = 6,186.68 : x
  2. Step 2: Convert to fraction form
    8,568.84/11,841.38 = 6,186.68/x
  3. Step 3: Cross multiply
    8,568.84x = 11,841.38 × 6,186.68
  4. Step 4: Simplify right side
    8,568.84x = 73,258,828.82
  5. Step 5: Solve for x
    x = 73,258,828.82/8,568.84
  6. Step 6: Final answer
    x = 8,549.45

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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.