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Finding the Fourth Proportional to 11,026.16, 16,572.05 and 5,186.87

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Solution

The fourth proportional to 11,026.16, 16,572.05 and 5,186.87 is: 7,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026.16 : 16,572.05 = 5,186.87 : x
  2. Step 2: Convert to fraction form
    11,026.16/16,572.05 = 5,186.87/x
  3. Step 3: Cross multiply
    11,026.16x = 16,572.05 × 5,186.87
  4. Step 4: Simplify right side
    11,026.16x = 85,957,115.35
  5. Step 5: Solve for x
    x = 85,957,115.35/11,026.16
  6. Step 6: Final answer
    x = 7,795.74

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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.