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Finding the Fourth Proportional to 7,086.31, 10,624.66 and 3,968.46

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Solution

The fourth proportional to 7,086.31, 10,624.66 and 3,968.46 is: 5,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.31 : 10,624.66 = 3,968.46 : x
  2. Step 2: Convert to fraction form
    7,086.31/10,624.66 = 3,968.46/x
  3. Step 3: Cross multiply
    7,086.31x = 10,624.66 × 3,968.46
  4. Step 4: Simplify right side
    7,086.31x = 42,163,538.22
  5. Step 5: Solve for x
    x = 42,163,538.22/7,086.31
  6. Step 6: Final answer
    x = 5,950.00

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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.