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Finding the Fourth Proportional to 10,326.86, 14,250.86 and 5,611.14

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Solution

The fourth proportional to 10,326.86, 14,250.86 and 5,611.14 is: 7,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.86 : 14,250.86 = 5,611.14 : x
  2. Step 2: Convert to fraction form
    10,326.86/14,250.86 = 5,611.14/x
  3. Step 3: Cross multiply
    10,326.86x = 14,250.86 × 5,611.14
  4. Step 4: Simplify right side
    10,326.86x = 79,963,570.58
  5. Step 5: Solve for x
    x = 79,963,570.58/10,326.86
  6. Step 6: Final answer
    x = 7,743.26

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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.