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Finding the Fourth Proportional to 10,635.34, 15,952.86 and 4,787.80

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Solution

The fourth proportional to 10,635.34, 15,952.86 and 4,787.80 is: 7,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.34 : 15,952.86 = 4,787.80 : x
  2. Step 2: Convert to fraction form
    10,635.34/15,952.86 = 4,787.80/x
  3. Step 3: Cross multiply
    10,635.34x = 15,952.86 × 4,787.80
  4. Step 4: Simplify right side
    10,635.34x = 76,379,103.11
  5. Step 5: Solve for x
    x = 76,379,103.11/10,635.34
  6. Step 6: Final answer
    x = 7,181.63

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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.