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Finding the Fourth Proportional to 10,930.81, 16,412.62 and 6,256.10

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Solution

The fourth proportional to 10,930.81, 16,412.62 and 6,256.10 is: 9,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.81 : 16,412.62 = 6,256.10 : x
  2. Step 2: Convert to fraction form
    10,930.81/16,412.62 = 6,256.10/x
  3. Step 3: Cross multiply
    10,930.81x = 16,412.62 × 6,256.10
  4. Step 4: Simplify right side
    10,930.81x = 102,678,991.98
  5. Step 5: Solve for x
    x = 102,678,991.98/10,930.81
  6. Step 6: Final answer
    x = 9,393.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.