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Finding the Fourth Proportional to 8,142.66, 11,234.88 and 4,785.60

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Solution

The fourth proportional to 8,142.66, 11,234.88 and 4,785.60 is: 6,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.66 : 11,234.88 = 4,785.60 : x
  2. Step 2: Convert to fraction form
    8,142.66/11,234.88 = 4,785.60/x
  3. Step 3: Cross multiply
    8,142.66x = 11,234.88 × 4,785.60
  4. Step 4: Simplify right side
    8,142.66x = 53,765,641.73
  5. Step 5: Solve for x
    x = 53,765,641.73/8,142.66
  6. Step 6: Final answer
    x = 6,602.96

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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.