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Finding the Fourth Proportional to 11,613.47, 16,027.94 and 6,897.74

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Solution

The fourth proportional to 11,613.47, 16,027.94 and 6,897.74 is: 9,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.47 : 16,027.94 = 6,897.74 : x
  2. Step 2: Convert to fraction form
    11,613.47/16,027.94 = 6,897.74/x
  3. Step 3: Cross multiply
    11,613.47x = 16,027.94 × 6,897.74
  4. Step 4: Simplify right side
    11,613.47x = 110,556,568.44
  5. Step 5: Solve for x
    x = 110,556,568.44/11,613.47
  6. Step 6: Final answer
    x = 9,519.69

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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.