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Finding the Fourth Proportional to 10,035.96, 13,855.08 and 6,058

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Solution

The fourth proportional to 10,035.96, 13,855.08 and 6,058 is: 8,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.96 : 13,855.08 = 6,058 : x
  2. Step 2: Convert to fraction form
    10,035.96/13,855.08 = 6,058/x
  3. Step 3: Cross multiply
    10,035.96x = 13,855.08 × 6,058
  4. Step 4: Simplify right side
    10,035.96x = 83,934,074.64
  5. Step 5: Solve for x
    x = 83,934,074.64/10,035.96
  6. Step 6: Final answer
    x = 8,363.33

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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.