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Finding the Fourth Proportional to 11,015.63, 15,194.65 and 6,536.21

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Solution

The fourth proportional to 11,015.63, 15,194.65 and 6,536.21 is: 9,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,015.63 : 15,194.65 = 6,536.21 : x
  2. Step 2: Convert to fraction form
    11,015.63/15,194.65 = 6,536.21/x
  3. Step 3: Cross multiply
    11,015.63x = 15,194.65 × 6,536.21
  4. Step 4: Simplify right side
    11,015.63x = 99,315,423.28
  5. Step 5: Solve for x
    x = 99,315,423.28/11,015.63
  6. Step 6: Final answer
    x = 9,015.86

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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.