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Finding the Fourth Proportional to 27,775.27, 41,663.18 and 6,998.77

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Solution

The fourth proportional to 27,775.27, 41,663.18 and 6,998.77 is: 10,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.27 : 41,663.18 = 6,998.77 : x
  2. Step 2: Convert to fraction form
    27,775.27/41,663.18 = 6,998.77/x
  3. Step 3: Cross multiply
    27,775.27x = 41,663.18 × 6,998.77
  4. Step 4: Simplify right side
    27,775.27x = 291,590,979.29
  5. Step 5: Solve for x
    x = 291,590,979.29/27,775.27
  6. Step 6: Final answer
    x = 10,498.22

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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.