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Finding the Fourth Proportional to 11,037.96, 16,561.26 and 4,113

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Solution

The fourth proportional to 11,037.96, 16,561.26 and 4,113 is: 6,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,037.96 : 16,561.26 = 4,113 : x
  2. Step 2: Convert to fraction form
    11,037.96/16,561.26 = 4,113/x
  3. Step 3: Cross multiply
    11,037.96x = 16,561.26 × 4,113
  4. Step 4: Simplify right side
    11,037.96x = 68,116,462.38
  5. Step 5: Solve for x
    x = 68,116,462.38/11,037.96
  6. Step 6: Final answer
    x = 6,171.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.