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Finding the Fourth Proportional to 11,607.81, 16,022.21 and 7,129.92

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Solution

The fourth proportional to 11,607.81, 16,022.21 and 7,129.92 is: 9,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.81 : 16,022.21 = 7,129.92 : x
  2. Step 2: Convert to fraction form
    11,607.81/16,022.21 = 7,129.92/x
  3. Step 3: Cross multiply
    11,607.81x = 16,022.21 × 7,129.92
  4. Step 4: Simplify right side
    11,607.81x = 114,237,099.96
  5. Step 5: Solve for x
    x = 114,237,099.96/11,607.81
  6. Step 6: Final answer
    x = 9,841.40

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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.