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Finding the Fourth Proportional to 11,911.71, 17,852.99 and 4,111.41

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Solution

The fourth proportional to 11,911.71, 17,852.99 and 4,111.41 is: 6,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.71 : 17,852.99 = 4,111.41 : x
  2. Step 2: Convert to fraction form
    11,911.71/17,852.99 = 4,111.41/x
  3. Step 3: Cross multiply
    11,911.71x = 17,852.99 × 4,111.41
  4. Step 4: Simplify right side
    11,911.71x = 73,400,941.06
  5. Step 5: Solve for x
    x = 73,400,941.06/11,911.71
  6. Step 6: Final answer
    x = 6,162.08

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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.