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Finding the Fourth Proportional to 8,427.60, 11,618.10 and 5,770.80

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Solution

The fourth proportional to 8,427.60, 11,618.10 and 5,770.80 is: 7,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.60 : 11,618.10 = 5,770.80 : x
  2. Step 2: Convert to fraction form
    8,427.60/11,618.10 = 5,770.80/x
  3. Step 3: Cross multiply
    8,427.60x = 11,618.10 × 5,770.80
  4. Step 4: Simplify right side
    8,427.60x = 67,045,731.48
  5. Step 5: Solve for x
    x = 67,045,731.48/8,427.60
  6. Step 6: Final answer
    x = 7,955.50

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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.