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Finding the Fourth Proportional to 10,763.15, 16,128.93 and 7,649.15

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Solution

The fourth proportional to 10,763.15, 16,128.93 and 7,649.15 is: 11,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.15 : 16,128.93 = 7,649.15 : x
  2. Step 2: Convert to fraction form
    10,763.15/16,128.93 = 7,649.15/x
  3. Step 3: Cross multiply
    10,763.15x = 16,128.93 × 7,649.15
  4. Step 4: Simplify right side
    10,763.15x = 123,372,604.91
  5. Step 5: Solve for x
    x = 123,372,604.91/10,763.15
  6. Step 6: Final answer
    x = 11,462.50

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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.