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Finding the Fourth Proportional to 7,942.94, 10,960.88 and 4,406.07

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Solution

The fourth proportional to 7,942.94, 10,960.88 and 4,406.07 is: 6,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.94 : 10,960.88 = 4,406.07 : x
  2. Step 2: Convert to fraction form
    7,942.94/10,960.88 = 4,406.07/x
  3. Step 3: Cross multiply
    7,942.94x = 10,960.88 × 4,406.07
  4. Step 4: Simplify right side
    7,942.94x = 48,294,382.51
  5. Step 5: Solve for x
    x = 48,294,382.51/7,942.94
  6. Step 6: Final answer
    x = 6,080.17

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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.