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Finding the Fourth Proportional to 11,608.10, 16,023.75 and 7,833.50

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Solution

The fourth proportional to 11,608.10, 16,023.75 and 7,833.50 is: 10,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.10 : 16,023.75 = 7,833.50 : x
  2. Step 2: Convert to fraction form
    11,608.10/16,023.75 = 7,833.50/x
  3. Step 3: Cross multiply
    11,608.10x = 16,023.75 × 7,833.50
  4. Step 4: Simplify right side
    11,608.10x = 125,522,045.63
  5. Step 5: Solve for x
    x = 125,522,045.63/11,608.10
  6. Step 6: Final answer
    x = 10,813.32

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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.