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Finding the Fourth Proportional to 7,801.86, 11,706.24 and 4,103.25

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Solution

The fourth proportional to 7,801.86, 11,706.24 and 4,103.25 is: 6,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.86 : 11,706.24 = 4,103.25 : x
  2. Step 2: Convert to fraction form
    7,801.86/11,706.24 = 4,103.25/x
  3. Step 3: Cross multiply
    7,801.86x = 11,706.24 × 4,103.25
  4. Step 4: Simplify right side
    7,801.86x = 48,033,629.28
  5. Step 5: Solve for x
    x = 48,033,629.28/7,801.86
  6. Step 6: Final answer
    x = 6,156.69

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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.