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Finding the Fourth Proportional to 6,827.69, 10,239.72 and 2,931.19

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Solution

The fourth proportional to 6,827.69, 10,239.72 and 2,931.19 is: 4,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.69 : 10,239.72 = 2,931.19 : x
  2. Step 2: Convert to fraction form
    6,827.69/10,239.72 = 2,931.19/x
  3. Step 3: Cross multiply
    6,827.69x = 10,239.72 × 2,931.19
  4. Step 4: Simplify right side
    6,827.69x = 30,014,528.28
  5. Step 5: Solve for x
    x = 30,014,528.28/6,827.69
  6. Step 6: Final answer
    x = 4,396.00

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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.