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Finding the Fourth Proportional to 11,644.97, 16,070.12 and 6,339.83

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Solution

The fourth proportional to 11,644.97, 16,070.12 and 6,339.83 is: 8,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.97 : 16,070.12 = 6,339.83 : x
  2. Step 2: Convert to fraction form
    11,644.97/16,070.12 = 6,339.83/x
  3. Step 3: Cross multiply
    11,644.97x = 16,070.12 × 6,339.83
  4. Step 4: Simplify right side
    11,644.97x = 101,881,740.60
  5. Step 5: Solve for x
    x = 101,881,740.60/11,644.97
  6. Step 6: Final answer
    x = 8,748.99

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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.