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Finding the Fourth Proportional to 7,571.61, 11,357.35 and 2,024.80

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Solution

The fourth proportional to 7,571.61, 11,357.35 and 2,024.80 is: 3,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.61 : 11,357.35 = 2,024.80 : x
  2. Step 2: Convert to fraction form
    7,571.61/11,357.35 = 2,024.80/x
  3. Step 3: Cross multiply
    7,571.61x = 11,357.35 × 2,024.80
  4. Step 4: Simplify right side
    7,571.61x = 22,996,328.82
  5. Step 5: Solve for x
    x = 22,996,328.82/7,571.61
  6. Step 6: Final answer
    x = 3,037.18

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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.