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Finding the Fourth Proportional to 7,571.18, 10,448.34 and 4,214.02

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Solution

The fourth proportional to 7,571.18, 10,448.34 and 4,214.02 is: 5,815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.18 : 10,448.34 = 4,214.02 : x
  2. Step 2: Convert to fraction form
    7,571.18/10,448.34 = 4,214.02/x
  3. Step 3: Cross multiply
    7,571.18x = 10,448.34 × 4,214.02
  4. Step 4: Simplify right side
    7,571.18x = 44,029,513.73
  5. Step 5: Solve for x
    x = 44,029,513.73/7,571.18
  6. Step 6: Final answer
    x = 5,815.41

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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.