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Finding the Fourth Proportional to 11,530.10, 15,910.89 and 6,814.82

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Solution

The fourth proportional to 11,530.10, 15,910.89 and 6,814.82 is: 9,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.10 : 15,910.89 = 6,814.82 : x
  2. Step 2: Convert to fraction form
    11,530.10/15,910.89 = 6,814.82/x
  3. Step 3: Cross multiply
    11,530.10x = 15,910.89 × 6,814.82
  4. Step 4: Simplify right side
    11,530.10x = 108,429,851.39
  5. Step 5: Solve for x
    x = 108,429,851.39/11,530.10
  6. Step 6: Final answer
    x = 9,404.07

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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.