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Finding the Fourth Proportional to 11,012.16, 15,191.82 and 6,536.10

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Solution

The fourth proportional to 11,012.16, 15,191.82 and 6,536.10 is: 9,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.16 : 15,191.82 = 6,536.10 : x
  2. Step 2: Convert to fraction form
    11,012.16/15,191.82 = 6,536.10/x
  3. Step 3: Cross multiply
    11,012.16x = 15,191.82 × 6,536.10
  4. Step 4: Simplify right side
    11,012.16x = 99,295,254.70
  5. Step 5: Solve for x
    x = 99,295,254.70/11,012.16
  6. Step 6: Final answer
    x = 9,016.87

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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.