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Finding the Fourth Proportional to 8,571.87, 12,857.00 and 3,024.95

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Solution

The fourth proportional to 8,571.87, 12,857.00 and 3,024.95 is: 4,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.87 : 12,857.00 = 3,024.95 : x
  2. Step 2: Convert to fraction form
    8,571.87/12,857.00 = 3,024.95/x
  3. Step 3: Cross multiply
    8,571.87x = 12,857.00 × 3,024.95
  4. Step 4: Simplify right side
    8,571.87x = 38,891,702.74
  5. Step 5: Solve for x
    x = 38,891,702.74/8,571.87
  6. Step 6: Final answer
    x = 4,537.13

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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.