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Finding the Fourth Proportional to 11,852.74, 17,777.66 and 7,410.80

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Solution

The fourth proportional to 11,852.74, 17,777.66 and 7,410.80 is: 11,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.74 : 17,777.66 = 7,410.80 : x
  2. Step 2: Convert to fraction form
    11,852.74/17,777.66 = 7,410.80/x
  3. Step 3: Cross multiply
    11,852.74x = 17,777.66 × 7,410.80
  4. Step 4: Simplify right side
    11,852.74x = 131,746,690.12
  5. Step 5: Solve for x
    x = 131,746,690.12/11,852.74
  6. Step 6: Final answer
    x = 11,115.29

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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.