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Finding the Fourth Proportional to 7,571.13, 10,448.65 and 4,213.94

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Solution

The fourth proportional to 7,571.13, 10,448.65 and 4,213.94 is: 5,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.13 : 10,448.65 = 4,213.94 : x
  2. Step 2: Convert to fraction form
    7,571.13/10,448.65 = 4,213.94/x
  3. Step 3: Cross multiply
    7,571.13x = 10,448.65 × 4,213.94
  4. Step 4: Simplify right side
    7,571.13x = 44,029,984.18
  5. Step 5: Solve for x
    x = 44,029,984.18/7,571.13
  6. Step 6: Final answer
    x = 5,815.51

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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.