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Finding the Fourth Proportional to 7,400.40, 10,214.01 and 4,414.74

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Solution

The fourth proportional to 7,400.40, 10,214.01 and 4,414.74 is: 6,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.40 : 10,214.01 = 4,414.74 : x
  2. Step 2: Convert to fraction form
    7,400.40/10,214.01 = 4,414.74/x
  3. Step 3: Cross multiply
    7,400.40x = 10,214.01 × 4,414.74
  4. Step 4: Simplify right side
    7,400.40x = 45,092,198.51
  5. Step 5: Solve for x
    x = 45,092,198.51/7,400.40
  6. Step 6: Final answer
    x = 6,093.21

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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.