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Finding the Fourth Proportional to 6,765.76, 10,145.74 and 2,323.87

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Solution

The fourth proportional to 6,765.76, 10,145.74 and 2,323.87 is: 3,484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.76 : 10,145.74 = 2,323.87 : x
  2. Step 2: Convert to fraction form
    6,765.76/10,145.74 = 2,323.87/x
  3. Step 3: Cross multiply
    6,765.76x = 10,145.74 × 2,323.87
  4. Step 4: Simplify right side
    6,765.76x = 23,577,384.76
  5. Step 5: Solve for x
    x = 23,577,384.76/6,765.76
  6. Step 6: Final answer
    x = 3,484.81

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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.