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Finding the Fourth Proportional to 7,970.41, 11,955.62 and 2,705.44

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Solution

The fourth proportional to 7,970.41, 11,955.62 and 2,705.44 is: 4,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.41 : 11,955.62 = 2,705.44 : x
  2. Step 2: Convert to fraction form
    7,970.41/11,955.62 = 2,705.44/x
  3. Step 3: Cross multiply
    7,970.41x = 11,955.62 × 2,705.44
  4. Step 4: Simplify right side
    7,970.41x = 32,345,212.57
  5. Step 5: Solve for x
    x = 32,345,212.57/7,970.41
  6. Step 6: Final answer
    x = 4,058.16

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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.