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Finding the Fourth Proportional to 7,420.48, 11,138.01 and 5,649.01

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Solution

The fourth proportional to 7,420.48, 11,138.01 and 5,649.01 is: 8,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.48 : 11,138.01 = 5,649.01 : x
  2. Step 2: Convert to fraction form
    7,420.48/11,138.01 = 5,649.01/x
  3. Step 3: Cross multiply
    7,420.48x = 11,138.01 × 5,649.01
  4. Step 4: Simplify right side
    7,420.48x = 62,918,645.94
  5. Step 5: Solve for x
    x = 62,918,645.94/7,420.48
  6. Step 6: Final answer
    x = 8,479.06

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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.