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Finding the Fourth Proportional to 11,013.64, 15,197.82 and 6,536.62

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Solution

The fourth proportional to 11,013.64, 15,197.82 and 6,536.62 is: 9,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.64 : 15,197.82 = 6,536.62 : x
  2. Step 2: Convert to fraction form
    11,013.64/15,197.82 = 6,536.62/x
  3. Step 3: Cross multiply
    11,013.64x = 15,197.82 × 6,536.62
  4. Step 4: Simplify right side
    11,013.64x = 99,342,374.17
  5. Step 5: Solve for x
    x = 99,342,374.17/11,013.64
  6. Step 6: Final answer
    x = 9,019.94

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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.