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Finding the Fourth Proportional to 10,412.53, 14,371.04 and 8,191.36

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Solution

The fourth proportional to 10,412.53, 14,371.04 and 8,191.36 is: 11,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.53 : 14,371.04 = 8,191.36 : x
  2. Step 2: Convert to fraction form
    10,412.53/14,371.04 = 8,191.36/x
  3. Step 3: Cross multiply
    10,412.53x = 14,371.04 × 8,191.36
  4. Step 4: Simplify right side
    10,412.53x = 117,718,341.54
  5. Step 5: Solve for x
    x = 117,718,341.54/10,412.53
  6. Step 6: Final answer
    x = 11,305.45

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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.