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Finding the Fourth Proportional to 7,776.70, 11,664.82 and 1,933.30

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Solution

The fourth proportional to 7,776.70, 11,664.82 and 1,933.30 is: 2,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.70 : 11,664.82 = 1,933.30 : x
  2. Step 2: Convert to fraction form
    7,776.70/11,664.82 = 1,933.30/x
  3. Step 3: Cross multiply
    7,776.70x = 11,664.82 × 1,933.30
  4. Step 4: Simplify right side
    7,776.70x = 22,551,596.51
  5. Step 5: Solve for x
    x = 22,551,596.51/7,776.70
  6. Step 6: Final answer
    x = 2,899.89

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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.