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Finding the Fourth Proportional to 7,970.15, 11,993.27 and 6,574.73

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Solution

The fourth proportional to 7,970.15, 11,993.27 and 6,574.73 is: 9,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.15 : 11,993.27 = 6,574.73 : x
  2. Step 2: Convert to fraction form
    7,970.15/11,993.27 = 6,574.73/x
  3. Step 3: Cross multiply
    7,970.15x = 11,993.27 × 6,574.73
  4. Step 4: Simplify right side
    7,970.15x = 78,852,419.23
  5. Step 5: Solve for x
    x = 78,852,419.23/7,970.15
  6. Step 6: Final answer
    x = 9,893.46

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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.