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Finding the Fourth Proportional to 10,367.73, 14,307.51 and 5,652

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Solution

The fourth proportional to 10,367.73, 14,307.51 and 5,652 is: 7,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.73 : 14,307.51 = 5,652 : x
  2. Step 2: Convert to fraction form
    10,367.73/14,307.51 = 5,652/x
  3. Step 3: Cross multiply
    10,367.73x = 14,307.51 × 5,652
  4. Step 4: Simplify right side
    10,367.73x = 80,866,046.52
  5. Step 5: Solve for x
    x = 80,866,046.52/10,367.73
  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.