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Finding the Fourth Proportional to 11,801.63, 16,288.70 and 7,328.31

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Solution

The fourth proportional to 11,801.63, 16,288.70 and 7,328.31 is: 10,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.63 : 16,288.70 = 7,328.31 : x
  2. Step 2: Convert to fraction form
    11,801.63/16,288.70 = 7,328.31/x
  3. Step 3: Cross multiply
    11,801.63x = 16,288.70 × 7,328.31
  4. Step 4: Simplify right side
    11,801.63x = 119,368,545.37
  5. Step 5: Solve for x
    x = 119,368,545.37/11,801.63
  6. Step 6: Final answer
    x = 10,114.58

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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.