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Finding the Fourth Proportional to 11,713.40, 17,570.12 and 4,787.90

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Solution

The fourth proportional to 11,713.40, 17,570.12 and 4,787.90 is: 7,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.40 : 17,570.12 = 4,787.90 : x
  2. Step 2: Convert to fraction form
    11,713.40/17,570.12 = 4,787.90/x
  3. Step 3: Cross multiply
    11,713.40x = 17,570.12 × 4,787.90
  4. Step 4: Simplify right side
    11,713.40x = 84,123,977.55
  5. Step 5: Solve for x
    x = 84,123,977.55/11,713.40
  6. Step 6: Final answer
    x = 7,181.86

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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.