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Finding the Fourth Proportional to 7,649.13, 10,554.53 and 5,135.43

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Solution

The fourth proportional to 7,649.13, 10,554.53 and 5,135.43 is: 7,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.13 : 10,554.53 = 5,135.43 : x
  2. Step 2: Convert to fraction form
    7,649.13/10,554.53 = 5,135.43/x
  3. Step 3: Cross multiply
    7,649.13x = 10,554.53 × 5,135.43
  4. Step 4: Simplify right side
    7,649.13x = 54,202,024.32
  5. Step 5: Solve for x
    x = 54,202,024.32/7,649.13
  6. Step 6: Final answer
    x = 7,086.04

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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.