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Finding the Fourth Proportional to 10,025.52, 13,834.08 and 5,548.56

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Solution

The fourth proportional to 10,025.52, 13,834.08 and 5,548.56 is: 7,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.52 : 13,834.08 = 5,548.56 : x
  2. Step 2: Convert to fraction form
    10,025.52/13,834.08 = 5,548.56/x
  3. Step 3: Cross multiply
    10,025.52x = 13,834.08 × 5,548.56
  4. Step 4: Simplify right side
    10,025.52x = 76,759,222.92
  5. Step 5: Solve for x
    x = 76,759,222.92/10,025.52
  6. Step 6: Final answer
    x = 7,656.38

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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.