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Finding the Fourth Proportional to 11,804.92, 16,293.56 and 7,332.05

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Solution

The fourth proportional to 11,804.92, 16,293.56 and 7,332.05 is: 10,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.92 : 16,293.56 = 7,332.05 : x
  2. Step 2: Convert to fraction form
    11,804.92/16,293.56 = 7,332.05/x
  3. Step 3: Cross multiply
    11,804.92x = 16,293.56 × 7,332.05
  4. Step 4: Simplify right side
    11,804.92x = 119,465,078.47
  5. Step 5: Solve for x
    x = 119,465,078.47/11,804.92
  6. Step 6: Final answer
    x = 10,119.94

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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.