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Finding the Fourth Proportional to 6,684.18, 10,023.72 and 2,300.46

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Solution

The fourth proportional to 6,684.18, 10,023.72 and 2,300.46 is: 3,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.18 : 10,023.72 = 2,300.46 : x
  2. Step 2: Convert to fraction form
    6,684.18/10,023.72 = 2,300.46/x
  3. Step 3: Cross multiply
    6,684.18x = 10,023.72 × 2,300.46
  4. Step 4: Simplify right side
    6,684.18x = 23,059,166.91
  5. Step 5: Solve for x
    x = 23,059,166.91/6,684.18
  6. Step 6: Final answer
    x = 3,449.81

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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.