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Finding the Fourth Proportional to 6,976.76, 10,465.23 and 2,046.50

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Solution

The fourth proportional to 6,976.76, 10,465.23 and 2,046.50 is: 3,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.76 : 10,465.23 = 2,046.50 : x
  2. Step 2: Convert to fraction form
    6,976.76/10,465.23 = 2,046.50/x
  3. Step 3: Cross multiply
    6,976.76x = 10,465.23 × 2,046.50
  4. Step 4: Simplify right side
    6,976.76x = 21,417,119.36
  5. Step 5: Solve for x
    x = 21,417,119.36/6,976.76
  6. Step 6: Final answer
    x = 3,069.78

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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.