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Finding the Fourth Proportional to 11,071.68, 16,594.08 and 4,744

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Solution

The fourth proportional to 11,071.68, 16,594.08 and 4,744 is: 7,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.68 : 16,594.08 = 4,744 : x
  2. Step 2: Convert to fraction form
    11,071.68/16,594.08 = 4,744/x
  3. Step 3: Cross multiply
    11,071.68x = 16,594.08 × 4,744
  4. Step 4: Simplify right side
    11,071.68x = 78,722,315.52
  5. Step 5: Solve for x
    x = 78,722,315.52/11,071.68
  6. Step 6: Final answer
    x = 7,110.24

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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.