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Finding the Fourth Proportional to 7,801.02, 11,702.25 and 2,607.66

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Solution

The fourth proportional to 7,801.02, 11,702.25 and 2,607.66 is: 3,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.02 : 11,702.25 = 2,607.66 : x
  2. Step 2: Convert to fraction form
    7,801.02/11,702.25 = 2,607.66/x
  3. Step 3: Cross multiply
    7,801.02x = 11,702.25 × 2,607.66
  4. Step 4: Simplify right side
    7,801.02x = 30,515,489.24
  5. Step 5: Solve for x
    x = 30,515,489.24/7,801.02
  6. Step 6: Final answer
    x = 3,911.73

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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.