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Finding the Fourth Proportional to 11,164, 16,746.32 and 2,956

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Solution

The fourth proportional to 11,164, 16,746.32 and 2,956 is: 4,434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164 : 16,746.32 = 2,956 : x
  2. Step 2: Convert to fraction form
    11,164/16,746.32 = 2,956/x
  3. Step 3: Cross multiply
    11,164x = 16,746.32 × 2,956
  4. Step 4: Simplify right side
    11,164x = 49,502,121.92
  5. Step 5: Solve for x
    x = 49,502,121.92/11,164
  6. Step 6: Final answer
    x = 4,434.08

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Why These Related Problems?

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