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Finding the Fourth Proportional to 7,768.36, 11,652.62 and 1,924.96

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Solution

The fourth proportional to 7,768.36, 11,652.62 and 1,924.96 is: 2,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.36 : 11,652.62 = 1,924.96 : x
  2. Step 2: Convert to fraction form
    7,768.36/11,652.62 = 1,924.96/x
  3. Step 3: Cross multiply
    7,768.36x = 11,652.62 × 1,924.96
  4. Step 4: Simplify right side
    7,768.36x = 22,430,827.40
  5. Step 5: Solve for x
    x = 22,430,827.40/7,768.36
  6. Step 6: Final answer
    x = 2,887.46

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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.