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Finding the Fourth Proportional to 6,686.37, 10,023.62 and 2,300.76

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Solution

The fourth proportional to 6,686.37, 10,023.62 and 2,300.76 is: 3,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.37 : 10,023.62 = 2,300.76 : x
  2. Step 2: Convert to fraction form
    6,686.37/10,023.62 = 2,300.76/x
  3. Step 3: Cross multiply
    6,686.37x = 10,023.62 × 2,300.76
  4. Step 4: Simplify right side
    6,686.37x = 23,061,932.45
  5. Step 5: Solve for x
    x = 23,061,932.45/6,686.37
  6. Step 6: Final answer
    x = 3,449.10

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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.