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Finding the Fourth Proportional to 7,865.91, 11,794.77 and 2,931.50

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Solution

The fourth proportional to 7,865.91, 11,794.77 and 2,931.50 is: 4,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.91 : 11,794.77 = 2,931.50 : x
  2. Step 2: Convert to fraction form
    7,865.91/11,794.77 = 2,931.50/x
  3. Step 3: Cross multiply
    7,865.91x = 11,794.77 × 2,931.50
  4. Step 4: Simplify right side
    7,865.91x = 34,576,397.74
  5. Step 5: Solve for x
    x = 34,576,397.74/7,865.91
  6. Step 6: Final answer
    x = 4,395.73

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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.