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Finding the Fourth Proportional to 11,702.99, 16,150.38 and 6,989.96

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Solution

The fourth proportional to 11,702.99, 16,150.38 and 6,989.96 is: 9,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.99 : 16,150.38 = 6,989.96 : x
  2. Step 2: Convert to fraction form
    11,702.99/16,150.38 = 6,989.96/x
  3. Step 3: Cross multiply
    11,702.99x = 16,150.38 × 6,989.96
  4. Step 4: Simplify right side
    11,702.99x = 112,890,510.18
  5. Step 5: Solve for x
    x = 112,890,510.18/11,702.99
  6. Step 6: Final answer
    x = 9,646.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.