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Finding the Fourth Proportional to 11,165.42, 15,408.22 and 6,129.50

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Solution

The fourth proportional to 11,165.42, 15,408.22 and 6,129.50 is: 8,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.42 : 15,408.22 = 6,129.50 : x
  2. Step 2: Convert to fraction form
    11,165.42/15,408.22 = 6,129.50/x
  3. Step 3: Cross multiply
    11,165.42x = 15,408.22 × 6,129.50
  4. Step 4: Simplify right side
    11,165.42x = 94,444,684.49
  5. Step 5: Solve for x
    x = 94,444,684.49/11,165.42
  6. Step 6: Final answer
    x = 8,458.68

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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.