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Finding the Fourth Proportional to 7,196.32, 9,931.92 and 4,053.28

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Solution

The fourth proportional to 7,196.32, 9,931.92 and 4,053.28 is: 5,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.32 : 9,931.92 = 4,053.28 : x
  2. Step 2: Convert to fraction form
    7,196.32/9,931.92 = 4,053.28/x
  3. Step 3: Cross multiply
    7,196.32x = 9,931.92 × 4,053.28
  4. Step 4: Simplify right side
    7,196.32x = 40,256,852.70
  5. Step 5: Solve for x
    x = 40,256,852.70/7,196.32
  6. Step 6: Final answer
    x = 5,594.09

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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.