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Finding the Fourth Proportional to 8,215.83, 11,342.03 and 4,859.60

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Solution

The fourth proportional to 8,215.83, 11,342.03 and 4,859.60 is: 6,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.83 : 11,342.03 = 4,859.60 : x
  2. Step 2: Convert to fraction form
    8,215.83/11,342.03 = 4,859.60/x
  3. Step 3: Cross multiply
    8,215.83x = 11,342.03 × 4,859.60
  4. Step 4: Simplify right side
    8,215.83x = 55,117,647.98
  5. Step 5: Solve for x
    x = 55,117,647.98/8,215.83
  6. Step 6: Final answer
    x = 6,708.71

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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.