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Finding the Fourth Proportional to 8,615.89, 12,865.47 and 6,840.97

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Solution

The fourth proportional to 8,615.89, 12,865.47 and 6,840.97 is: 10,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.89 : 12,865.47 = 6,840.97 : x
  2. Step 2: Convert to fraction form
    8,615.89/12,865.47 = 6,840.97/x
  3. Step 3: Cross multiply
    8,615.89x = 12,865.47 × 6,840.97
  4. Step 4: Simplify right side
    8,615.89x = 88,012,308.86
  5. Step 5: Solve for x
    x = 88,012,308.86/8,615.89
  6. Step 6: Final answer
    x = 10,215.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.