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Finding the Fourth Proportional to 8,568.06, 11,824.02 and 4,842.06

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Solution

The fourth proportional to 8,568.06, 11,824.02 and 4,842.06 is: 6,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.06 : 11,824.02 = 4,842.06 : x
  2. Step 2: Convert to fraction form
    8,568.06/11,824.02 = 4,842.06/x
  3. Step 3: Cross multiply
    8,568.06x = 11,824.02 × 4,842.06
  4. Step 4: Simplify right side
    8,568.06x = 57,252,614.28
  5. Step 5: Solve for x
    x = 57,252,614.28/8,568.06
  6. Step 6: Final answer
    x = 6,682.10

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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.