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Finding the Fourth Proportional to 7,571.53, 10,448.85 and 4,214.49

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Solution

The fourth proportional to 7,571.53, 10,448.85 and 4,214.49 is: 5,816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.53 : 10,448.85 = 4,214.49 : x
  2. Step 2: Convert to fraction form
    7,571.53/10,448.85 = 4,214.49/x
  3. Step 3: Cross multiply
    7,571.53x = 10,448.85 × 4,214.49
  4. Step 4: Simplify right side
    7,571.53x = 44,036,573.84
  5. Step 5: Solve for x
    x = 44,036,573.84/7,571.53
  6. Step 6: Final answer
    x = 5,816.07

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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.