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Finding the Fourth Proportional to 7,970.72, 11,955.64 and 2,776.96

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Solution

The fourth proportional to 7,970.72, 11,955.64 and 2,776.96 is: 4,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.72 : 11,955.64 = 2,776.96 : x
  2. Step 2: Convert to fraction form
    7,970.72/11,955.64 = 2,776.96/x
  3. Step 3: Cross multiply
    7,970.72x = 11,955.64 × 2,776.96
  4. Step 4: Simplify right side
    7,970.72x = 33,200,334.05
  5. Step 5: Solve for x
    x = 33,200,334.05/7,970.72
  6. Step 6: Final answer
    x = 4,165.29

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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.