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Finding the Fourth Proportional to 10,647.96, 14,695.59 and 6,112.43

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Solution

The fourth proportional to 10,647.96, 14,695.59 and 6,112.43 is: 8,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.96 : 14,695.59 = 6,112.43 : x
  2. Step 2: Convert to fraction form
    10,647.96/14,695.59 = 6,112.43/x
  3. Step 3: Cross multiply
    10,647.96x = 14,695.59 × 6,112.43
  4. Step 4: Simplify right side
    10,647.96x = 89,825,769.74
  5. Step 5: Solve for x
    x = 89,825,769.74/10,647.96
  6. Step 6: Final answer
    x = 8,435.96

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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.