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Finding the Fourth Proportional to 10,258.60, 14,147.94 and 8,268.52

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Solution

The fourth proportional to 10,258.60, 14,147.94 and 8,268.52 is: 11,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.60 : 14,147.94 = 8,268.52 : x
  2. Step 2: Convert to fraction form
    10,258.60/14,147.94 = 8,268.52/x
  3. Step 3: Cross multiply
    10,258.60x = 14,147.94 × 8,268.52
  4. Step 4: Simplify right side
    10,258.60x = 116,982,524.85
  5. Step 5: Solve for x
    x = 116,982,524.85/10,258.60
  6. Step 6: Final answer
    x = 11,403.36

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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.