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Finding the Fourth Proportional to 11,644.63, 16,070.70 and 7,171.00

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Solution

The fourth proportional to 11,644.63, 16,070.70 and 7,171.00 is: 9,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.63 : 16,070.70 = 7,171.00 : x
  2. Step 2: Convert to fraction form
    11,644.63/16,070.70 = 7,171.00/x
  3. Step 3: Cross multiply
    11,644.63x = 16,070.70 × 7,171.00
  4. Step 4: Simplify right side
    11,644.63x = 115,242,976.41
  5. Step 5: Solve for x
    x = 115,242,976.41/11,644.63
  6. Step 6: Final answer
    x = 9,896.66

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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.