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Finding the Fourth Proportional to 7,865.94, 11,790.63 and 3,962.14

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Solution

The fourth proportional to 7,865.94, 11,790.63 and 3,962.14 is: 5,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.94 : 11,790.63 = 3,962.14 : x
  2. Step 2: Convert to fraction form
    7,865.94/11,790.63 = 3,962.14/x
  3. Step 3: Cross multiply
    7,865.94x = 11,790.63 × 3,962.14
  4. Step 4: Simplify right side
    7,865.94x = 46,716,126.75
  5. Step 5: Solve for x
    x = 46,716,126.75/7,865.94
  6. Step 6: Final answer
    x = 5,939.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.