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Finding the Fourth Proportional to 10,705.59, 16,060.83 and 5,775.12

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Solution

The fourth proportional to 10,705.59, 16,060.83 and 5,775.12 is: 8,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.59 : 16,060.83 = 5,775.12 : x
  2. Step 2: Convert to fraction form
    10,705.59/16,060.83 = 5,775.12/x
  3. Step 3: Cross multiply
    10,705.59x = 16,060.83 × 5,775.12
  4. Step 4: Simplify right side
    10,705.59x = 92,753,220.55
  5. Step 5: Solve for x
    x = 92,753,220.55/10,705.59
  6. Step 6: Final answer
    x = 8,664.00

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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.