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Finding the Fourth Proportional to 10,322, 14,244.62 and 5,606.28

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Solution

The fourth proportional to 10,322, 14,244.62 and 5,606.28 is: 7,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322 : 14,244.62 = 5,606.28 : x
  2. Step 2: Convert to fraction form
    10,322/14,244.62 = 5,606.28/x
  3. Step 3: Cross multiply
    10,322x = 14,244.62 × 5,606.28
  4. Step 4: Simplify right side
    10,322x = 79,859,328.21
  5. Step 5: Solve for x
    x = 79,859,328.21/10,322
  6. Step 6: Final answer
    x = 7,736.81

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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.