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Finding the Fourth Proportional to 11,000.16, 16,496.76 and 5,803.20

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Solution

The fourth proportional to 11,000.16, 16,496.76 and 5,803.20 is: 8,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.16 : 16,496.76 = 5,803.20 : x
  2. Step 2: Convert to fraction form
    11,000.16/16,496.76 = 5,803.20/x
  3. Step 3: Cross multiply
    11,000.16x = 16,496.76 × 5,803.20
  4. Step 4: Simplify right side
    11,000.16x = 95,733,997.63
  5. Step 5: Solve for x
    x = 95,733,997.63/11,000.16
  6. Step 6: Final answer
    x = 8,702.96

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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.