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Finding the Fourth Proportional to 7,571.51, 11,357.82 and 2,024.72

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Solution

The fourth proportional to 7,571.51, 11,357.82 and 2,024.72 is: 3,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.51 : 11,357.82 = 2,024.72 : x
  2. Step 2: Convert to fraction form
    7,571.51/11,357.82 = 2,024.72/x
  3. Step 3: Cross multiply
    7,571.51x = 11,357.82 × 2,024.72
  4. Step 4: Simplify right side
    7,571.51x = 22,996,348.52
  5. Step 5: Solve for x
    x = 22,996,348.52/7,571.51
  6. Step 6: Final answer
    x = 3,037.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.