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Finding the Fourth Proportional to 11,358.26, 15,682.05 and 7,110.98

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Solution

The fourth proportional to 11,358.26, 15,682.05 and 7,110.98 is: 9,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.26 : 15,682.05 = 7,110.98 : x
  2. Step 2: Convert to fraction form
    11,358.26/15,682.05 = 7,110.98/x
  3. Step 3: Cross multiply
    11,358.26x = 15,682.05 × 7,110.98
  4. Step 4: Simplify right side
    11,358.26x = 111,514,743.91
  5. Step 5: Solve for x
    x = 111,514,743.91/11,358.26
  6. Step 6: Final answer
    x = 9,817.94

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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.