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Finding the Fourth Proportional to 8,583.30, 12,874.95 and 5,302.80

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Solution

The fourth proportional to 8,583.30, 12,874.95 and 5,302.80 is: 7,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.30 : 12,874.95 = 5,302.80 : x
  2. Step 2: Convert to fraction form
    8,583.30/12,874.95 = 5,302.80/x
  3. Step 3: Cross multiply
    8,583.30x = 12,874.95 × 5,302.80
  4. Step 4: Simplify right side
    8,583.30x = 68,273,284.86
  5. Step 5: Solve for x
    x = 68,273,284.86/8,583.30
  6. Step 6: Final answer
    x = 7,954.20

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Why These Related Problems?

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