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Finding the Fourth Proportional to 6,711.66, 10,068.66 and 2,552.03

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Solution

The fourth proportional to 6,711.66, 10,068.66 and 2,552.03 is: 3,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.66 : 10,068.66 = 2,552.03 : x
  2. Step 2: Convert to fraction form
    6,711.66/10,068.66 = 2,552.03/x
  3. Step 3: Cross multiply
    6,711.66x = 10,068.66 × 2,552.03
  4. Step 4: Simplify right side
    6,711.66x = 25,695,472.04
  5. Step 5: Solve for x
    x = 25,695,472.04/6,711.66
  6. Step 6: Final answer
    x = 3,828.48

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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.