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Finding the Fourth Proportional to 11,367.87, 15,675.12 and 7,783.41

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Solution

The fourth proportional to 11,367.87, 15,675.12 and 7,783.41 is: 10,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.87 : 15,675.12 = 7,783.41 : x
  2. Step 2: Convert to fraction form
    11,367.87/15,675.12 = 7,783.41/x
  3. Step 3: Cross multiply
    11,367.87x = 15,675.12 × 7,783.41
  4. Step 4: Simplify right side
    11,367.87x = 122,005,885.76
  5. Step 5: Solve for x
    x = 122,005,885.76/11,367.87
  6. Step 6: Final answer
    x = 10,732.52

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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.