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Finding the Fourth Proportional to 7,206.77, 10,811.27 and 3,046.79

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Solution

The fourth proportional to 7,206.77, 10,811.27 and 3,046.79 is: 4,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.77 : 10,811.27 = 3,046.79 : x
  2. Step 2: Convert to fraction form
    7,206.77/10,811.27 = 3,046.79/x
  3. Step 3: Cross multiply
    7,206.77x = 10,811.27 × 3,046.79
  4. Step 4: Simplify right side
    7,206.77x = 32,939,669.32
  5. Step 5: Solve for x
    x = 32,939,669.32/7,206.77
  6. Step 6: Final answer
    x = 4,570.66

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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.