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Finding the Fourth Proportional to 10,705.35, 16,060.46 and 5,774.88

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Solution

The fourth proportional to 10,705.35, 16,060.46 and 5,774.88 is: 8,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.35 : 16,060.46 = 5,774.88 : x
  2. Step 2: Convert to fraction form
    10,705.35/16,060.46 = 5,774.88/x
  3. Step 3: Cross multiply
    10,705.35x = 16,060.46 × 5,774.88
  4. Step 4: Simplify right side
    10,705.35x = 92,747,200.37
  5. Step 5: Solve for x
    x = 92,747,200.37/10,705.35
  6. Step 6: Final answer
    x = 8,663.63

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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.