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Finding the Fourth Proportional to 6,910.74, 10,362.12 and 4,722.12

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Solution

The fourth proportional to 6,910.74, 10,362.12 and 4,722.12 is: 7,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.74 : 10,362.12 = 4,722.12 : x
  2. Step 2: Convert to fraction form
    6,910.74/10,362.12 = 4,722.12/x
  3. Step 3: Cross multiply
    6,910.74x = 10,362.12 × 4,722.12
  4. Step 4: Simplify right side
    6,910.74x = 48,931,174.09
  5. Step 5: Solve for x
    x = 48,931,174.09/6,910.74
  6. Step 6: Final answer
    x = 7,080.45

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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.