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Finding the Fourth Proportional to 7,962.91, 11,952.42 and 3,285.71

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Solution

The fourth proportional to 7,962.91, 11,952.42 and 3,285.71 is: 4,931.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.91 : 11,952.42 = 3,285.71 : x
  2. Step 2: Convert to fraction form
    7,962.91/11,952.42 = 3,285.71/x
  3. Step 3: Cross multiply
    7,962.91x = 11,952.42 × 3,285.71
  4. Step 4: Simplify right side
    7,962.91x = 39,272,185.92
  5. Step 5: Solve for x
    x = 39,272,185.92/7,962.91
  6. Step 6: Final answer
    x = 4,931.89

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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.