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Finding the Fourth Proportional to 10,389.36, 14,327.82 and 8,121

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Solution

The fourth proportional to 10,389.36, 14,327.82 and 8,121 is: 11,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.36 : 14,327.82 = 8,121 : x
  2. Step 2: Convert to fraction form
    10,389.36/14,327.82 = 8,121/x
  3. Step 3: Cross multiply
    10,389.36x = 14,327.82 × 8,121
  4. Step 4: Simplify right side
    10,389.36x = 116,356,226.22
  5. Step 5: Solve for x
    x = 116,356,226.22/10,389.36
  6. Step 6: Final answer
    x = 11,199.56

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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.