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Finding the Fourth Proportional to 10,322, 15,483.36 and 3,397.04

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Solution

The fourth proportional to 10,322, 15,483.36 and 3,397.04 is: 5,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322 : 15,483.36 = 3,397.04 : x
  2. Step 2: Convert to fraction form
    10,322/15,483.36 = 3,397.04/x
  3. Step 3: Cross multiply
    10,322x = 15,483.36 × 3,397.04
  4. Step 4: Simplify right side
    10,322x = 52,597,593.25
  5. Step 5: Solve for x
    x = 52,597,593.25/10,322
  6. Step 6: Final answer
    x = 5,095.68

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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.