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Finding the Fourth Proportional to 11,826.86, 17,718.77 and 6,881.51

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Solution

The fourth proportional to 11,826.86, 17,718.77 and 6,881.51 is: 10,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.86 : 17,718.77 = 6,881.51 : x
  2. Step 2: Convert to fraction form
    11,826.86/17,718.77 = 6,881.51/x
  3. Step 3: Cross multiply
    11,826.86x = 17,718.77 × 6,881.51
  4. Step 4: Simplify right side
    11,826.86x = 121,931,816.07
  5. Step 5: Solve for x
    x = 121,931,816.07/11,826.86
  6. Step 6: Final answer
    x = 10,309.74

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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.