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Finding the Fourth Proportional to 6,943.42, 10,415.13 and 2,329.66

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Solution

The fourth proportional to 6,943.42, 10,415.13 and 2,329.66 is: 3,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.42 : 10,415.13 = 2,329.66 : x
  2. Step 2: Convert to fraction form
    6,943.42/10,415.13 = 2,329.66/x
  3. Step 3: Cross multiply
    6,943.42x = 10,415.13 × 2,329.66
  4. Step 4: Simplify right side
    6,943.42x = 24,263,711.76
  5. Step 5: Solve for x
    x = 24,263,711.76/6,943.42
  6. Step 6: Final answer
    x = 3,494.49

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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.