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Finding the Fourth Proportional to 11,167.86, 15,408.56 and 7,194

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Solution

The fourth proportional to 11,167.86, 15,408.56 and 7,194 is: 9,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.86 : 15,408.56 = 7,194 : x
  2. Step 2: Convert to fraction form
    11,167.86/15,408.56 = 7,194/x
  3. Step 3: Cross multiply
    11,167.86x = 15,408.56 × 7,194
  4. Step 4: Simplify right side
    11,167.86x = 110,849,180.64
  5. Step 5: Solve for x
    x = 110,849,180.64/11,167.86
  6. Step 6: Final answer
    x = 9,925.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.