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Finding the Fourth Proportional to 7,847.90, 10,825.57 and 4,702.26

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Solution

The fourth proportional to 7,847.90, 10,825.57 and 4,702.26 is: 6,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.90 : 10,825.57 = 4,702.26 : x
  2. Step 2: Convert to fraction form
    7,847.90/10,825.57 = 4,702.26/x
  3. Step 3: Cross multiply
    7,847.90x = 10,825.57 × 4,702.26
  4. Step 4: Simplify right side
    7,847.90x = 50,904,644.79
  5. Step 5: Solve for x
    x = 50,904,644.79/7,847.90
  6. Step 6: Final answer
    x = 6,486.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.