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Finding the Fourth Proportional to 11,744.86, 16,206.13 and 6,708.01

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Solution

The fourth proportional to 11,744.86, 16,206.13 and 6,708.01 is: 9,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.86 : 16,206.13 = 6,708.01 : x
  2. Step 2: Convert to fraction form
    11,744.86/16,206.13 = 6,708.01/x
  3. Step 3: Cross multiply
    11,744.86x = 16,206.13 × 6,708.01
  4. Step 4: Simplify right side
    11,744.86x = 108,710,824.82
  5. Step 5: Solve for x
    x = 108,710,824.82/11,744.86
  6. Step 6: Final answer
    x = 9,256.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.