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Finding the Fourth Proportional to 11,702.18, 16,152.30 and 6,923.78

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Solution

The fourth proportional to 11,702.18, 16,152.30 and 6,923.78 is: 9,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.18 : 16,152.30 = 6,923.78 : x
  2. Step 2: Convert to fraction form
    11,702.18/16,152.30 = 6,923.78/x
  3. Step 3: Cross multiply
    11,702.18x = 16,152.30 × 6,923.78
  4. Step 4: Simplify right side
    11,702.18x = 111,834,890.93
  5. Step 5: Solve for x
    x = 111,834,890.93/11,702.18
  6. Step 6: Final answer
    x = 9,556.76

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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.