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Finding the Fourth Proportional to 10,874.57, 16,287.10 and 6,482.95

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Solution

The fourth proportional to 10,874.57, 16,287.10 and 6,482.95 is: 9,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.57 : 16,287.10 = 6,482.95 : x
  2. Step 2: Convert to fraction form
    10,874.57/16,287.10 = 6,482.95/x
  3. Step 3: Cross multiply
    10,874.57x = 16,287.10 × 6,482.95
  4. Step 4: Simplify right side
    10,874.57x = 105,588,422.53
  5. Step 5: Solve for x
    x = 105,588,422.53/10,874.57
  6. Step 6: Final answer
    x = 9,709.66

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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.