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Finding the Fourth Proportional to 6,986.99, 10,484.82 and 2,827.04

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Solution

The fourth proportional to 6,986.99, 10,484.82 and 2,827.04 is: 4,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.99 : 10,484.82 = 2,827.04 : x
  2. Step 2: Convert to fraction form
    6,986.99/10,484.82 = 2,827.04/x
  3. Step 3: Cross multiply
    6,986.99x = 10,484.82 × 2,827.04
  4. Step 4: Simplify right side
    6,986.99x = 29,640,953.11
  5. Step 5: Solve for x
    x = 29,640,953.11/6,986.99
  6. Step 6: Final answer
    x = 4,242.30

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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.