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Finding the Fourth Proportional to 10,705.56, 16,032.96 and 6,254.34

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Solution

The fourth proportional to 10,705.56, 16,032.96 and 6,254.34 is: 9,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.56 : 16,032.96 = 6,254.34 : x
  2. Step 2: Convert to fraction form
    10,705.56/16,032.96 = 6,254.34/x
  3. Step 3: Cross multiply
    10,705.56x = 16,032.96 × 6,254.34
  4. Step 4: Simplify right side
    10,705.56x = 100,275,583.05
  5. Step 5: Solve for x
    x = 100,275,583.05/10,705.56
  6. Step 6: Final answer
    x = 9,366.68

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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.