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Finding the Fourth Proportional to 8,520.63, 12,782.15 and 2,280.84

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Solution

The fourth proportional to 8,520.63, 12,782.15 and 2,280.84 is: 3,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.63 : 12,782.15 = 2,280.84 : x
  2. Step 2: Convert to fraction form
    8,520.63/12,782.15 = 2,280.84/x
  3. Step 3: Cross multiply
    8,520.63x = 12,782.15 × 2,280.84
  4. Step 4: Simplify right side
    8,520.63x = 29,154,039.01
  5. Step 5: Solve for x
    x = 29,154,039.01/8,520.63
  6. Step 6: Final answer
    x = 3,421.58

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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.