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Finding the Fourth Proportional to 6,871.77, 10,307.18 and 2,711.00

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Solution

The fourth proportional to 6,871.77, 10,307.18 and 2,711.00 is: 4,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.77 : 10,307.18 = 2,711.00 : x
  2. Step 2: Convert to fraction form
    6,871.77/10,307.18 = 2,711.00/x
  3. Step 3: Cross multiply
    6,871.77x = 10,307.18 × 2,711.00
  4. Step 4: Simplify right side
    6,871.77x = 27,942,797.53
  5. Step 5: Solve for x
    x = 27,942,797.53/6,871.77
  6. Step 6: Final answer
    x = 4,066.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.