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Finding the Fourth Proportional to 10,857.50, 14,984.10 and 6,141.80

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Solution

The fourth proportional to 10,857.50, 14,984.10 and 6,141.80 is: 8,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.50 : 14,984.10 = 6,141.80 : x
  2. Step 2: Convert to fraction form
    10,857.50/14,984.10 = 6,141.80/x
  3. Step 3: Cross multiply
    10,857.50x = 14,984.10 × 6,141.80
  4. Step 4: Simplify right side
    10,857.50x = 92,029,345.38
  5. Step 5: Solve for x
    x = 92,029,345.38/10,857.50
  6. Step 6: Final answer
    x = 8,476.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.