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Finding the Fourth Proportional to 6,968.58, 10,450.71 and 2,350.50

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Solution

The fourth proportional to 6,968.58, 10,450.71 and 2,350.50 is: 3,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.58 : 10,450.71 = 2,350.50 : x
  2. Step 2: Convert to fraction form
    6,968.58/10,450.71 = 2,350.50/x
  3. Step 3: Cross multiply
    6,968.58x = 10,450.71 × 2,350.50
  4. Step 4: Simplify right side
    6,968.58x = 24,564,393.86
  5. Step 5: Solve for x
    x = 24,564,393.86/6,968.58
  6. Step 6: Final answer
    x = 3,525.02

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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.