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Finding the Fourth Proportional to 10,704.90, 16,058.55 and 3,309.30

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Solution

The fourth proportional to 10,704.90, 16,058.55 and 3,309.30 is: 4,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.90 : 16,058.55 = 3,309.30 : x
  2. Step 2: Convert to fraction form
    10,704.90/16,058.55 = 3,309.30/x
  3. Step 3: Cross multiply
    10,704.90x = 16,058.55 × 3,309.30
  4. Step 4: Simplify right side
    10,704.90x = 53,142,559.52
  5. Step 5: Solve for x
    x = 53,142,559.52/10,704.90
  6. Step 6: Final answer
    x = 4,964.32

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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.