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Finding the Fourth Proportional to 10,983.52, 16,477.68 and 4,058

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Solution

The fourth proportional to 10,983.52, 16,477.68 and 4,058 is: 6,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.52 : 16,477.68 = 4,058 : x
  2. Step 2: Convert to fraction form
    10,983.52/16,477.68 = 4,058/x
  3. Step 3: Cross multiply
    10,983.52x = 16,477.68 × 4,058
  4. Step 4: Simplify right side
    10,983.52x = 66,866,425.44
  5. Step 5: Solve for x
    x = 66,866,425.44/10,983.52
  6. Step 6: Final answer
    x = 6,087.89

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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.