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Finding the Fourth Proportional to 11,411.61, 17,116.95 and 3,091.87

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Solution

The fourth proportional to 11,411.61, 17,116.95 and 3,091.87 is: 4,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.61 : 17,116.95 = 3,091.87 : x
  2. Step 2: Convert to fraction form
    11,411.61/17,116.95 = 3,091.87/x
  3. Step 3: Cross multiply
    11,411.61x = 17,116.95 × 3,091.87
  4. Step 4: Simplify right side
    11,411.61x = 52,923,400.88
  5. Step 5: Solve for x
    x = 52,923,400.88/11,411.61
  6. Step 6: Final answer
    x = 4,637.68

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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.