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Finding the Fourth Proportional to 8,553.63, 12,830.18 and 3,287.28

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Solution

The fourth proportional to 8,553.63, 12,830.18 and 3,287.28 is: 4,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.63 : 12,830.18 = 3,287.28 : x
  2. Step 2: Convert to fraction form
    8,553.63/12,830.18 = 3,287.28/x
  3. Step 3: Cross multiply
    8,553.63x = 12,830.18 × 3,287.28
  4. Step 4: Simplify right side
    8,553.63x = 42,176,377.67
  5. Step 5: Solve for x
    x = 42,176,377.67/8,553.63
  6. Step 6: Final answer
    x = 4,930.82

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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.