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Finding the Fourth Proportional to 12,187.80, 16,822.08 and 7,945.02

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Solution

The fourth proportional to 12,187.80, 16,822.08 and 7,945.02 is: 10,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.80 : 16,822.08 = 7,945.02 : x
  2. Step 2: Convert to fraction form
    12,187.80/16,822.08 = 7,945.02/x
  3. Step 3: Cross multiply
    12,187.80x = 16,822.08 × 7,945.02
  4. Step 4: Simplify right side
    12,187.80x = 133,651,762.04
  5. Step 5: Solve for x
    x = 133,651,762.04/12,187.80
  6. Step 6: Final answer
    x = 10,966.03

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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.