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Finding the Fourth Proportional to 7,970.11, 11,957.09 and 3,808.94

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Solution

The fourth proportional to 7,970.11, 11,957.09 and 3,808.94 is: 5,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.11 : 11,957.09 = 3,808.94 : x
  2. Step 2: Convert to fraction form
    7,970.11/11,957.09 = 3,808.94/x
  3. Step 3: Cross multiply
    7,970.11x = 11,957.09 × 3,808.94
  4. Step 4: Simplify right side
    7,970.11x = 45,543,759.55
  5. Step 5: Solve for x
    x = 45,543,759.55/7,970.11
  6. Step 6: Final answer
    x = 5,714.32

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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.