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Finding the Fourth Proportional to 7,895.11, 11,784.86 and 6,960.96

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Solution

The fourth proportional to 7,895.11, 11,784.86 and 6,960.96 is: 10,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.11 : 11,784.86 = 6,960.96 : x
  2. Step 2: Convert to fraction form
    7,895.11/11,784.86 = 6,960.96/x
  3. Step 3: Cross multiply
    7,895.11x = 11,784.86 × 6,960.96
  4. Step 4: Simplify right side
    7,895.11x = 82,033,939.07
  5. Step 5: Solve for x
    x = 82,033,939.07/7,895.11
  6. Step 6: Final answer
    x = 10,390.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.