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Finding the Fourth Proportional to 11,134.50, 15,365.77 and 6,099.20

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Solution

The fourth proportional to 11,134.50, 15,365.77 and 6,099.20 is: 8,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.50 : 15,365.77 = 6,099.20 : x
  2. Step 2: Convert to fraction form
    11,134.50/15,365.77 = 6,099.20/x
  3. Step 3: Cross multiply
    11,134.50x = 15,365.77 × 6,099.20
  4. Step 4: Simplify right side
    11,134.50x = 93,718,869.93
  5. Step 5: Solve for x
    x = 93,718,869.93/11,134.50
  6. Step 6: Final answer
    x = 8,416.98

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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.