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Finding the Fourth Proportional to 11,164.38, 16,746.57 and 6,544.86

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Solution

The fourth proportional to 11,164.38, 16,746.57 and 6,544.86 is: 9,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.38 : 16,746.57 = 6,544.86 : x
  2. Step 2: Convert to fraction form
    11,164.38/16,746.57 = 6,544.86/x
  3. Step 3: Cross multiply
    11,164.38x = 16,746.57 × 6,544.86
  4. Step 4: Simplify right side
    11,164.38x = 109,603,956.13
  5. Step 5: Solve for x
    x = 109,603,956.13/11,164.38
  6. Step 6: Final answer
    x = 9,817.29

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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.