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Finding the Fourth Proportional to 7,400.97, 10,208.57 and 4,414.50

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Solution

The fourth proportional to 7,400.97, 10,208.57 and 4,414.50 is: 6,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.97 : 10,208.57 = 4,414.50 : x
  2. Step 2: Convert to fraction form
    7,400.97/10,208.57 = 4,414.50/x
  3. Step 3: Cross multiply
    7,400.97x = 10,208.57 × 4,414.50
  4. Step 4: Simplify right side
    7,400.97x = 45,065,710.19
  5. Step 5: Solve for x
    x = 45,065,710.19/7,400.97
  6. Step 6: Final answer
    x = 6,089.16

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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.