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Finding the Fourth Proportional to 10,363.14, 14,305.94 and 6,112.77

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Solution

The fourth proportional to 10,363.14, 14,305.94 and 6,112.77 is: 8,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.14 : 14,305.94 = 6,112.77 : x
  2. Step 2: Convert to fraction form
    10,363.14/14,305.94 = 6,112.77/x
  3. Step 3: Cross multiply
    10,363.14x = 14,305.94 × 6,112.77
  4. Step 4: Simplify right side
    10,363.14x = 87,448,890.29
  5. Step 5: Solve for x
    x = 87,448,890.29/10,363.14
  6. Step 6: Final answer
    x = 8,438.45

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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.