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Finding the Fourth Proportional to 10,644.12, 14,687.53 and 6,167.83

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Solution

The fourth proportional to 10,644.12, 14,687.53 and 6,167.83 is: 8,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.12 : 14,687.53 = 6,167.83 : x
  2. Step 2: Convert to fraction form
    10,644.12/14,687.53 = 6,167.83/x
  3. Step 3: Cross multiply
    10,644.12x = 14,687.53 × 6,167.83
  4. Step 4: Simplify right side
    10,644.12x = 90,590,188.16
  5. Step 5: Solve for x
    x = 90,590,188.16/10,644.12
  6. Step 6: Final answer
    x = 8,510.82

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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.