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Finding the Fourth Proportional to 12,191.76, 16,825.56 and 6,887.16

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Solution

The fourth proportional to 12,191.76, 16,825.56 and 6,887.16 is: 9,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.76 : 16,825.56 = 6,887.16 : x
  2. Step 2: Convert to fraction form
    12,191.76/16,825.56 = 6,887.16/x
  3. Step 3: Cross multiply
    12,191.76x = 16,825.56 × 6,887.16
  4. Step 4: Simplify right side
    12,191.76x = 115,880,323.81
  5. Step 5: Solve for x
    x = 115,880,323.81/12,191.76
  6. Step 6: Final answer
    x = 9,504.81

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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.