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Finding the Fourth Proportional to 8,615.68, 11,881.56 and 6,853.12

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Solution

The fourth proportional to 8,615.68, 11,881.56 and 6,853.12 is: 9,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.68 : 11,881.56 = 6,853.12 : x
  2. Step 2: Convert to fraction form
    8,615.68/11,881.56 = 6,853.12/x
  3. Step 3: Cross multiply
    8,615.68x = 11,881.56 × 6,853.12
  4. Step 4: Simplify right side
    8,615.68x = 81,425,756.47
  5. Step 5: Solve for x
    x = 81,425,756.47/8,615.68
  6. Step 6: Final answer
    x = 9,450.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.