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Finding the Fourth Proportional to 11,862.77, 16,369.34 and 6,556.86

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Solution

The fourth proportional to 11,862.77, 16,369.34 and 6,556.86 is: 9,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.77 : 16,369.34 = 6,556.86 : x
  2. Step 2: Convert to fraction form
    11,862.77/16,369.34 = 6,556.86/x
  3. Step 3: Cross multiply
    11,862.77x = 16,369.34 × 6,556.86
  4. Step 4: Simplify right side
    11,862.77x = 107,331,437.89
  5. Step 5: Solve for x
    x = 107,331,437.89/11,862.77
  6. Step 6: Final answer
    x = 9,047.76

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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.