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Finding the Fourth Proportional to 12,685.86, 17,501.67 and 7,961.94

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Solution

The fourth proportional to 12,685.86, 17,501.67 and 7,961.94 is: 10,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.86 : 17,501.67 = 7,961.94 : x
  2. Step 2: Convert to fraction form
    12,685.86/17,501.67 = 7,961.94/x
  3. Step 3: Cross multiply
    12,685.86x = 17,501.67 × 7,961.94
  4. Step 4: Simplify right side
    12,685.86x = 139,347,246.44
  5. Step 5: Solve for x
    x = 139,347,246.44/12,685.86
  6. Step 6: Final answer
    x = 10,984.45

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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.