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Finding the Fourth Proportional to 10,633.36, 15,944.04 and 5,088.04

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Solution

The fourth proportional to 10,633.36, 15,944.04 and 5,088.04 is: 7,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.36 : 15,944.04 = 5,088.04 : x
  2. Step 2: Convert to fraction form
    10,633.36/15,944.04 = 5,088.04/x
  3. Step 3: Cross multiply
    10,633.36x = 15,944.04 × 5,088.04
  4. Step 4: Simplify right side
    10,633.36x = 81,123,913.28
  5. Step 5: Solve for x
    x = 81,123,913.28/10,633.36
  6. Step 6: Final answer
    x = 7,629.19

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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.