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Finding the Fourth Proportional to 10,648.26, 15,970.57 and 2,855.25

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Solution

The fourth proportional to 10,648.26, 15,970.57 and 2,855.25 is: 4,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.26 : 15,970.57 = 2,855.25 : x
  2. Step 2: Convert to fraction form
    10,648.26/15,970.57 = 2,855.25/x
  3. Step 3: Cross multiply
    10,648.26x = 15,970.57 × 2,855.25
  4. Step 4: Simplify right side
    10,648.26x = 45,599,962.85
  5. Step 5: Solve for x
    x = 45,599,962.85/10,648.26
  6. Step 6: Final answer
    x = 4,282.39

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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.