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Finding the Fourth Proportional to 11,012.58, 15,194.96 and 6,537.82

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Solution

The fourth proportional to 11,012.58, 15,194.96 and 6,537.82 is: 9,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.58 : 15,194.96 = 6,537.82 : x
  2. Step 2: Convert to fraction form
    11,012.58/15,194.96 = 6,537.82/x
  3. Step 3: Cross multiply
    11,012.58x = 15,194.96 × 6,537.82
  4. Step 4: Simplify right side
    11,012.58x = 99,341,913.39
  5. Step 5: Solve for x
    x = 99,341,913.39/11,012.58
  6. Step 6: Final answer
    x = 9,020.77

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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.