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Finding the Fourth Proportional to 11,971.29, 17,973.50 and 8,264.37

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Solution

The fourth proportional to 11,971.29, 17,973.50 and 8,264.37 is: 12,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.29 : 17,973.50 = 8,264.37 : x
  2. Step 2: Convert to fraction form
    11,971.29/17,973.50 = 8,264.37/x
  3. Step 3: Cross multiply
    11,971.29x = 17,973.50 × 8,264.37
  4. Step 4: Simplify right side
    11,971.29x = 148,539,612.87
  5. Step 5: Solve for x
    x = 148,539,612.87/11,971.29
  6. Step 6: Final answer
    x = 12,407.99

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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.