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Finding the Fourth Proportional to 10,857.50, 16,274.88 and 5,017.94

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Solution

The fourth proportional to 10,857.50, 16,274.88 and 5,017.94 is: 7,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.50 : 16,274.88 = 5,017.94 : x
  2. Step 2: Convert to fraction form
    10,857.50/16,274.88 = 5,017.94/x
  3. Step 3: Cross multiply
    10,857.50x = 16,274.88 × 5,017.94
  4. Step 4: Simplify right side
    10,857.50x = 81,666,371.35
  5. Step 5: Solve for x
    x = 81,666,371.35/10,857.50
  6. Step 6: Final answer
    x = 7,521.66

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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.