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Finding the Fourth Proportional to 11,342.91, 15,648.87 and 8,365.86

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Solution

The fourth proportional to 11,342.91, 15,648.87 and 8,365.86 is: 11,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.91 : 15,648.87 = 8,365.86 : x
  2. Step 2: Convert to fraction form
    11,342.91/15,648.87 = 8,365.86/x
  3. Step 3: Cross multiply
    11,342.91x = 15,648.87 × 8,365.86
  4. Step 4: Simplify right side
    11,342.91x = 130,916,255.58
  5. Step 5: Solve for x
    x = 130,916,255.58/11,342.91
  6. Step 6: Final answer
    x = 11,541.68

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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.