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Finding the Fourth Proportional to 8,520.98, 12,782.16 and 2,280.94

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Solution

The fourth proportional to 8,520.98, 12,782.16 and 2,280.94 is: 3,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.98 : 12,782.16 = 2,280.94 : x
  2. Step 2: Convert to fraction form
    8,520.98/12,782.16 = 2,280.94/x
  3. Step 3: Cross multiply
    8,520.98x = 12,782.16 × 2,280.94
  4. Step 4: Simplify right side
    8,520.98x = 29,155,395.06
  5. Step 5: Solve for x
    x = 29,155,395.06/8,520.98
  6. Step 6: Final answer
    x = 3,421.60

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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.