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Finding the Fourth Proportional to 8,352.40, 12,514.20 and 6,883.60

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Solution

The fourth proportional to 8,352.40, 12,514.20 and 6,883.60 is: 10,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.40 : 12,514.20 = 6,883.60 : x
  2. Step 2: Convert to fraction form
    8,352.40/12,514.20 = 6,883.60/x
  3. Step 3: Cross multiply
    8,352.40x = 12,514.20 × 6,883.60
  4. Step 4: Simplify right side
    8,352.40x = 86,142,747.12
  5. Step 5: Solve for x
    x = 86,142,747.12/8,352.40
  6. Step 6: Final answer
    x = 10,313.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.