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Finding the Fourth Proportional to 10,367.75, 14,307.45 and 5,652.03

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Solution

The fourth proportional to 10,367.75, 14,307.45 and 5,652.03 is: 7,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.75 : 14,307.45 = 5,652.03 : x
  2. Step 2: Convert to fraction form
    10,367.75/14,307.45 = 5,652.03/x
  3. Step 3: Cross multiply
    10,367.75x = 14,307.45 × 5,652.03
  4. Step 4: Simplify right side
    10,367.75x = 80,866,136.62
  5. Step 5: Solve for x
    x = 80,866,136.62/10,367.75
  6. Step 6: Final answer
    x = 7,799.78

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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.