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Finding the Fourth Proportional to 11,411.68, 17,118.62 and 3,091.80

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Solution

The fourth proportional to 11,411.68, 17,118.62 and 3,091.80 is: 4,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.68 : 17,118.62 = 3,091.80 : x
  2. Step 2: Convert to fraction form
    11,411.68/17,118.62 = 3,091.80/x
  3. Step 3: Cross multiply
    11,411.68x = 17,118.62 × 3,091.80
  4. Step 4: Simplify right side
    11,411.68x = 52,927,349.32
  5. Step 5: Solve for x
    x = 52,927,349.32/11,411.68
  6. Step 6: Final answer
    x = 4,638.00

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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.