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Finding the Fourth Proportional to 6,686.94, 10,026.74 and 2,300.78

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Solution

The fourth proportional to 6,686.94, 10,026.74 and 2,300.78 is: 3,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.94 : 10,026.74 = 2,300.78 : x
  2. Step 2: Convert to fraction form
    6,686.94/10,026.74 = 2,300.78/x
  3. Step 3: Cross multiply
    6,686.94x = 10,026.74 × 2,300.78
  4. Step 4: Simplify right side
    6,686.94x = 23,069,322.86
  5. Step 5: Solve for x
    x = 23,069,322.86/6,686.94
  6. Step 6: Final answer
    x = 3,449.91

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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.