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Finding the Fourth Proportional to 10,314.69, 14,235.48 and 8,633.13

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Solution

The fourth proportional to 10,314.69, 14,235.48 and 8,633.13 is: 11,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.69 : 14,235.48 = 8,633.13 : x
  2. Step 2: Convert to fraction form
    10,314.69/14,235.48 = 8,633.13/x
  3. Step 3: Cross multiply
    10,314.69x = 14,235.48 × 8,633.13
  4. Step 4: Simplify right side
    10,314.69x = 122,896,749.45
  5. Step 5: Solve for x
    x = 122,896,749.45/10,314.69
  6. Step 6: Final answer
    x = 11,914.73

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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.