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Finding the Fourth Proportional to 7,649.03, 11,471.44 and 2,101.06

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Solution

The fourth proportional to 7,649.03, 11,471.44 and 2,101.06 is: 3,151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.03 : 11,471.44 = 2,101.06 : x
  2. Step 2: Convert to fraction form
    7,649.03/11,471.44 = 2,101.06/x
  3. Step 3: Cross multiply
    7,649.03x = 11,471.44 × 2,101.06
  4. Step 4: Simplify right side
    7,649.03x = 24,102,160.86
  5. Step 5: Solve for x
    x = 24,102,160.86/7,649.03
  6. Step 6: Final answer
    x = 3,151.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.