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Finding the Fourth Proportional to 12,187.40, 16,805.76 and 7,935.20

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Solution

The fourth proportional to 12,187.40, 16,805.76 and 7,935.20 is: 10,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.40 : 16,805.76 = 7,935.20 : x
  2. Step 2: Convert to fraction form
    12,187.40/16,805.76 = 7,935.20/x
  3. Step 3: Cross multiply
    12,187.40x = 16,805.76 × 7,935.20
  4. Step 4: Simplify right side
    12,187.40x = 133,357,066.75
  5. Step 5: Solve for x
    x = 133,357,066.75/12,187.40
  6. Step 6: Final answer
    x = 10,942.21

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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.