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Finding the Fourth Proportional to 11,546.12, 15,933.64 and 6,511.57

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Solution

The fourth proportional to 11,546.12, 15,933.64 and 6,511.57 is: 8,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.12 : 15,933.64 = 6,511.57 : x
  2. Step 2: Convert to fraction form
    11,546.12/15,933.64 = 6,511.57/x
  3. Step 3: Cross multiply
    11,546.12x = 15,933.64 × 6,511.57
  4. Step 4: Simplify right side
    11,546.12x = 103,752,899.99
  5. Step 5: Solve for x
    x = 103,752,899.99/11,546.12
  6. Step 6: Final answer
    x = 8,985.95

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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.