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Finding the Fourth Proportional to 11,730.54, 16,187.94 and 6,425.31

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Solution

The fourth proportional to 11,730.54, 16,187.94 and 6,425.31 is: 8,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.54 : 16,187.94 = 6,425.31 : x
  2. Step 2: Convert to fraction form
    11,730.54/16,187.94 = 6,425.31/x
  3. Step 3: Cross multiply
    11,730.54x = 16,187.94 × 6,425.31
  4. Step 4: Simplify right side
    11,730.54x = 104,012,532.76
  5. Step 5: Solve for x
    x = 104,012,532.76/11,730.54
  6. Step 6: Final answer
    x = 8,866.82

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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.