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Finding the Fourth Proportional to 7,801.90, 11,702.90 and 3,122.30

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Solution

The fourth proportional to 7,801.90, 11,702.90 and 3,122.30 is: 4,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.90 : 11,702.90 = 3,122.30 : x
  2. Step 2: Convert to fraction form
    7,801.90/11,702.90 = 3,122.30/x
  3. Step 3: Cross multiply
    7,801.90x = 11,702.90 × 3,122.30
  4. Step 4: Simplify right side
    7,801.90x = 36,539,964.67
  5. Step 5: Solve for x
    x = 36,539,964.67/7,801.90
  6. Step 6: Final answer
    x = 4,683.47

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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.