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Finding the Fourth Proportional to 7,339.92, 10,128.84 and 4,196.04

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Solution

The fourth proportional to 7,339.92, 10,128.84 and 4,196.04 is: 5,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,339.92 : 10,128.84 = 4,196.04 : x
  2. Step 2: Convert to fraction form
    7,339.92/10,128.84 = 4,196.04/x
  3. Step 3: Cross multiply
    7,339.92x = 10,128.84 × 4,196.04
  4. Step 4: Simplify right side
    7,339.92x = 42,501,017.79
  5. Step 5: Solve for x
    x = 42,501,017.79/7,339.92
  6. Step 6: Final answer
    x = 5,790.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.