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Finding the Fourth Proportional to 12,103.07, 16,702.13 and 6,998.46

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Solution

The fourth proportional to 12,103.07, 16,702.13 and 6,998.46 is: 9,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.07 : 16,702.13 = 6,998.46 : x
  2. Step 2: Convert to fraction form
    12,103.07/16,702.13 = 6,998.46/x
  3. Step 3: Cross multiply
    12,103.07x = 16,702.13 × 6,998.46
  4. Step 4: Simplify right side
    12,103.07x = 116,889,153.73
  5. Step 5: Solve for x
    x = 116,889,153.73/12,103.07
  6. Step 6: Final answer
    x = 9,657.81

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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.