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Finding the Fourth Proportional to 11,608.32, 17,411.94 and 2,842.77

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Solution

The fourth proportional to 11,608.32, 17,411.94 and 2,842.77 is: 4,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.32 : 17,411.94 = 2,842.77 : x
  2. Step 2: Convert to fraction form
    11,608.32/17,411.94 = 2,842.77/x
  3. Step 3: Cross multiply
    11,608.32x = 17,411.94 × 2,842.77
  4. Step 4: Simplify right side
    11,608.32x = 49,498,140.67
  5. Step 5: Solve for x
    x = 49,498,140.67/11,608.32
  6. Step 6: Final answer
    x = 4,264.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.