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Finding the Fourth Proportional to 7,969.80, 11,957.42 and 4,070.92

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Solution

The fourth proportional to 7,969.80, 11,957.42 and 4,070.92 is: 6,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.80 : 11,957.42 = 4,070.92 : x
  2. Step 2: Convert to fraction form
    7,969.80/11,957.42 = 4,070.92/x
  3. Step 3: Cross multiply
    7,969.80x = 11,957.42 × 4,070.92
  4. Step 4: Simplify right side
    7,969.80x = 48,677,700.23
  5. Step 5: Solve for x
    x = 48,677,700.23/7,969.80
  6. Step 6: Final answer
    x = 6,107.77

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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.