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Finding the Fourth Proportional to 6,989.99, 10,475.13 and 3,871.40

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Solution

The fourth proportional to 6,989.99, 10,475.13 and 3,871.40 is: 5,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.99 : 10,475.13 = 3,871.40 : x
  2. Step 2: Convert to fraction form
    6,989.99/10,475.13 = 3,871.40/x
  3. Step 3: Cross multiply
    6,989.99x = 10,475.13 × 3,871.40
  4. Step 4: Simplify right side
    6,989.99x = 40,553,418.28
  5. Step 5: Solve for x
    x = 40,553,418.28/6,989.99
  6. Step 6: Final answer
    x = 5,801.64

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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.