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Finding the Fourth Proportional to 10,644.86, 14,665.43 and 8,405.91

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Solution

The fourth proportional to 10,644.86, 14,665.43 and 8,405.91 is: 11,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.86 : 14,665.43 = 8,405.91 : x
  2. Step 2: Convert to fraction form
    10,644.86/14,665.43 = 8,405.91/x
  3. Step 3: Cross multiply
    10,644.86x = 14,665.43 × 8,405.91
  4. Step 4: Simplify right side
    10,644.86x = 123,276,242.66
  5. Step 5: Solve for x
    x = 123,276,242.66/10,644.86
  6. Step 6: Final answer
    x = 11,580.83

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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.