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Finding the Fourth Proportional to 11,600.57, 15,998.91 and 7,818.77

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Solution

The fourth proportional to 11,600.57, 15,998.91 and 7,818.77 is: 10,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.57 : 15,998.91 = 7,818.77 : x
  2. Step 2: Convert to fraction form
    11,600.57/15,998.91 = 7,818.77/x
  3. Step 3: Cross multiply
    11,600.57x = 15,998.91 × 7,818.77
  4. Step 4: Simplify right side
    11,600.57x = 125,091,718.22
  5. Step 5: Solve for x
    x = 125,091,718.22/11,600.57
  6. Step 6: Final answer
    x = 10,783.24

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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.