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Finding the Fourth Proportional to 7,649.42, 10,561.41 and 5,135.30

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Solution

The fourth proportional to 7,649.42, 10,561.41 and 5,135.30 is: 7,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.42 : 10,561.41 = 5,135.30 : x
  2. Step 2: Convert to fraction form
    7,649.42/10,561.41 = 5,135.30/x
  3. Step 3: Cross multiply
    7,649.42x = 10,561.41 × 5,135.30
  4. Step 4: Simplify right side
    7,649.42x = 54,236,008.77
  5. Step 5: Solve for x
    x = 54,236,008.77/7,649.42
  6. Step 6: Final answer
    x = 7,090.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.