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Finding the Fourth Proportional to 7,649.10, 10,562.40 and 7,255.44

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Solution

The fourth proportional to 7,649.10, 10,562.40 and 7,255.44 is: 10,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.10 : 10,562.40 = 7,255.44 : x
  2. Step 2: Convert to fraction form
    7,649.10/10,562.40 = 7,255.44/x
  3. Step 3: Cross multiply
    7,649.10x = 10,562.40 × 7,255.44
  4. Step 4: Simplify right side
    7,649.10x = 76,634,859.46
  5. Step 5: Solve for x
    x = 76,634,859.46/7,649.10
  6. Step 6: Final answer
    x = 10,018.81

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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.