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Finding the Fourth Proportional to 10,765.80, 16,125.99 and 4,927.32

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Solution

The fourth proportional to 10,765.80, 16,125.99 and 4,927.32 is: 7,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.80 : 16,125.99 = 4,927.32 : x
  2. Step 2: Convert to fraction form
    10,765.80/16,125.99 = 4,927.32/x
  3. Step 3: Cross multiply
    10,765.80x = 16,125.99 × 4,927.32
  4. Step 4: Simplify right side
    10,765.80x = 79,457,913.05
  5. Step 5: Solve for x
    x = 79,457,913.05/10,765.80
  6. Step 6: Final answer
    x = 7,380.59

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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.