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Finding the Fourth Proportional to 11,614.70, 16,029.66 and 6,899

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Solution

The fourth proportional to 11,614.70, 16,029.66 and 6,899 is: 9,521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.70 : 16,029.66 = 6,899 : x
  2. Step 2: Convert to fraction form
    11,614.70/16,029.66 = 6,899/x
  3. Step 3: Cross multiply
    11,614.70x = 16,029.66 × 6,899
  4. Step 4: Simplify right side
    11,614.70x = 110,588,624.34
  5. Step 5: Solve for x
    x = 110,588,624.34/11,614.70
  6. Step 6: Final answer
    x = 9,521.44

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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.