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Finding the Fourth Proportional to 7,649.27, 10,561.12 and 4,782.38

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Solution

The fourth proportional to 7,649.27, 10,561.12 and 4,782.38 is: 6,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.27 : 10,561.12 = 4,782.38 : x
  2. Step 2: Convert to fraction form
    7,649.27/10,561.12 = 4,782.38/x
  3. Step 3: Cross multiply
    7,649.27x = 10,561.12 × 4,782.38
  4. Step 4: Simplify right side
    7,649.27x = 50,507,224.30
  5. Step 5: Solve for x
    x = 50,507,224.30/7,649.27
  6. Step 6: Final answer
    x = 6,602.88

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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.