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Finding the Fourth Proportional to 7,913.25, 11,864.07 and 4,576.80

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Solution

The fourth proportional to 7,913.25, 11,864.07 and 4,576.80 is: 6,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.25 : 11,864.07 = 4,576.80 : x
  2. Step 2: Convert to fraction form
    7,913.25/11,864.07 = 4,576.80/x
  3. Step 3: Cross multiply
    7,913.25x = 11,864.07 × 4,576.80
  4. Step 4: Simplify right side
    7,913.25x = 54,299,475.58
  5. Step 5: Solve for x
    x = 54,299,475.58/7,913.25
  6. Step 6: Final answer
    x = 6,861.84

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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.