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Finding the Fourth Proportional to 7,990.65, 11,967.63 and 3,833.58

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Solution

The fourth proportional to 7,990.65, 11,967.63 and 3,833.58 is: 5,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990.65 : 11,967.63 = 3,833.58 : x
  2. Step 2: Convert to fraction form
    7,990.65/11,967.63 = 3,833.58/x
  3. Step 3: Cross multiply
    7,990.65x = 11,967.63 × 3,833.58
  4. Step 4: Simplify right side
    7,990.65x = 45,878,867.02
  5. Step 5: Solve for x
    x = 45,878,867.02/7,990.65
  6. Step 6: Final answer
    x = 5,741.57

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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.