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Finding the Fourth Proportional to 10,005.20, 13,806.92 and 5,528.64

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Solution

The fourth proportional to 10,005.20, 13,806.92 and 5,528.64 is: 7,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.20 : 13,806.92 = 5,528.64 : x
  2. Step 2: Convert to fraction form
    10,005.20/13,806.92 = 5,528.64/x
  3. Step 3: Cross multiply
    10,005.20x = 13,806.92 × 5,528.64
  4. Step 4: Simplify right side
    10,005.20x = 76,333,490.19
  5. Step 5: Solve for x
    x = 76,333,490.19/10,005.20
  6. Step 6: Final answer
    x = 7,629.38

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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.