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Finding the Fourth Proportional to 8,257.60, 11,393.76 and 5,233.66

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Solution

The fourth proportional to 8,257.60, 11,393.76 and 5,233.66 is: 7,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.60 : 11,393.76 = 5,233.66 : x
  2. Step 2: Convert to fraction form
    8,257.60/11,393.76 = 5,233.66/x
  3. Step 3: Cross multiply
    8,257.60x = 11,393.76 × 5,233.66
  4. Step 4: Simplify right side
    8,257.60x = 59,631,065.96
  5. Step 5: Solve for x
    x = 59,631,065.96/8,257.60
  6. Step 6: Final answer
    x = 7,221.36

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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.