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Finding the Fourth Proportional to 10,838.50, 14,956.94 and 6,058.54

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Solution

The fourth proportional to 10,838.50, 14,956.94 and 6,058.54 is: 8,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.50 : 14,956.94 = 6,058.54 : x
  2. Step 2: Convert to fraction form
    10,838.50/14,956.94 = 6,058.54/x
  3. Step 3: Cross multiply
    10,838.50x = 14,956.94 × 6,058.54
  4. Step 4: Simplify right side
    10,838.50x = 90,617,219.27
  5. Step 5: Solve for x
    x = 90,617,219.27/10,838.50
  6. Step 6: Final answer
    x = 8,360.68

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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.