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Finding the Fourth Proportional to 10,705.77, 14,771.16 and 6,167.34

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Solution

The fourth proportional to 10,705.77, 14,771.16 and 6,167.34 is: 8,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.77 : 14,771.16 = 6,167.34 : x
  2. Step 2: Convert to fraction form
    10,705.77/14,771.16 = 6,167.34/x
  3. Step 3: Cross multiply
    10,705.77x = 14,771.16 × 6,167.34
  4. Step 4: Simplify right side
    10,705.77x = 91,098,765.91
  5. Step 5: Solve for x
    x = 91,098,765.91/10,705.77
  6. Step 6: Final answer
    x = 8,509.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.