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Finding the Fourth Proportional to 10,232.69, 14,126.09 and 6,461.33

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Solution

The fourth proportional to 10,232.69, 14,126.09 and 6,461.33 is: 8,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.69 : 14,126.09 = 6,461.33 : x
  2. Step 2: Convert to fraction form
    10,232.69/14,126.09 = 6,461.33/x
  3. Step 3: Cross multiply
    10,232.69x = 14,126.09 × 6,461.33
  4. Step 4: Simplify right side
    10,232.69x = 91,273,226.16
  5. Step 5: Solve for x
    x = 91,273,226.16/10,232.69
  6. Step 6: Final answer
    x = 8,919.77

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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.