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Finding the Fourth Proportional to 6,686.84, 10,023.66 and 3,226.52

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Solution

The fourth proportional to 6,686.84, 10,023.66 and 3,226.52 is: 4,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.84 : 10,023.66 = 3,226.52 : x
  2. Step 2: Convert to fraction form
    6,686.84/10,023.66 = 3,226.52/x
  3. Step 3: Cross multiply
    6,686.84x = 10,023.66 × 3,226.52
  4. Step 4: Simplify right side
    6,686.84x = 32,341,539.46
  5. Step 5: Solve for x
    x = 32,341,539.46/6,686.84
  6. Step 6: Final answer
    x = 4,836.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.