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Finding the Fourth Proportional to 6,206.24, 8,564.80 and 3,411.76

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Solution

The fourth proportional to 6,206.24, 8,564.80 and 3,411.76 is: 4,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.24 : 8,564.80 = 3,411.76 : x
  2. Step 2: Convert to fraction form
    6,206.24/8,564.80 = 3,411.76/x
  3. Step 3: Cross multiply
    6,206.24x = 8,564.80 × 3,411.76
  4. Step 4: Simplify right side
    6,206.24x = 29,221,042.05
  5. Step 5: Solve for x
    x = 29,221,042.05/6,206.24
  6. Step 6: Final answer
    x = 4,708.33

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