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Finding the Fourth Proportional to 10,775.57, 16,165.17 and 4,932.63

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Solution

The fourth proportional to 10,775.57, 16,165.17 and 4,932.63 is: 7,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.57 : 16,165.17 = 4,932.63 : x
  2. Step 2: Convert to fraction form
    10,775.57/16,165.17 = 4,932.63/x
  3. Step 3: Cross multiply
    10,775.57x = 16,165.17 × 4,932.63
  4. Step 4: Simplify right side
    10,775.57x = 79,736,802.50
  5. Step 5: Solve for x
    x = 79,736,802.50/10,775.57
  6. Step 6: Final answer
    x = 7,399.78

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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.