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Finding the Fourth Proportional to 11,783.80, 17,677.84 and 3,886.76

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Solution

The fourth proportional to 11,783.80, 17,677.84 and 3,886.76 is: 5,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.80 : 17,677.84 = 3,886.76 : x
  2. Step 2: Convert to fraction form
    11,783.80/17,677.84 = 3,886.76/x
  3. Step 3: Cross multiply
    11,783.80x = 17,677.84 × 3,886.76
  4. Step 4: Simplify right side
    11,783.80x = 68,709,521.40
  5. Step 5: Solve for x
    x = 68,709,521.40/11,783.80
  6. Step 6: Final answer
    x = 5,830.85

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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.