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Finding the Fourth Proportional to 11,546.55, 15,934.19 and 6,241.32

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Solution

The fourth proportional to 11,546.55, 15,934.19 and 6,241.32 is: 8,612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.55 : 15,934.19 = 6,241.32 : x
  2. Step 2: Convert to fraction form
    11,546.55/15,934.19 = 6,241.32/x
  3. Step 3: Cross multiply
    11,546.55x = 15,934.19 × 6,241.32
  4. Step 4: Simplify right side
    11,546.55x = 99,450,347.52
  5. Step 5: Solve for x
    x = 99,450,347.52/11,546.55
  6. Step 6: Final answer
    x = 8,612.99

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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.