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Finding the Fourth Proportional to 11,534.60, 15,917.75 and 6,229.42

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Solution

The fourth proportional to 11,534.60, 15,917.75 and 6,229.42 is: 8,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.60 : 15,917.75 = 6,229.42 : x
  2. Step 2: Convert to fraction form
    11,534.60/15,917.75 = 6,229.42/x
  3. Step 3: Cross multiply
    11,534.60x = 15,917.75 × 6,229.42
  4. Step 4: Simplify right side
    11,534.60x = 99,158,334.63
  5. Step 5: Solve for x
    x = 99,158,334.63/11,534.60
  6. Step 6: Final answer
    x = 8,596.60

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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.