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Finding the Fourth Proportional to 10,705.77, 16,044.08 and 6,803.19

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Solution

The fourth proportional to 10,705.77, 16,044.08 and 6,803.19 is: 10,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.77 : 16,044.08 = 6,803.19 : x
  2. Step 2: Convert to fraction form
    10,705.77/16,044.08 = 6,803.19/x
  3. Step 3: Cross multiply
    10,705.77x = 16,044.08 × 6,803.19
  4. Step 4: Simplify right side
    10,705.77x = 109,150,890.60
  5. Step 5: Solve for x
    x = 109,150,890.60/10,705.77
  6. Step 6: Final answer
    x = 10,195.52

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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.