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Finding the Fourth Proportional to 11,407.23, 17,111.82 and 4,011.05

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Solution

The fourth proportional to 11,407.23, 17,111.82 and 4,011.05 is: 6,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.23 : 17,111.82 = 4,011.05 : x
  2. Step 2: Convert to fraction form
    11,407.23/17,111.82 = 4,011.05/x
  3. Step 3: Cross multiply
    11,407.23x = 17,111.82 × 4,011.05
  4. Step 4: Simplify right side
    11,407.23x = 68,636,280.05
  5. Step 5: Solve for x
    x = 68,636,280.05/11,407.23
  6. Step 6: Final answer
    x = 6,016.91

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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.