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Finding the Fourth Proportional to 8,271.79, 11,401.80 and 6,476.24

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Solution

The fourth proportional to 8,271.79, 11,401.80 and 6,476.24 is: 8,926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.79 : 11,401.80 = 6,476.24 : x
  2. Step 2: Convert to fraction form
    8,271.79/11,401.80 = 6,476.24/x
  3. Step 3: Cross multiply
    8,271.79x = 11,401.80 × 6,476.24
  4. Step 4: Simplify right side
    8,271.79x = 73,840,797.45
  5. Step 5: Solve for x
    x = 73,840,797.45/8,271.79
  6. Step 6: Final answer
    x = 8,926.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.