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Finding the Fourth Proportional to 7,776.46, 11,664.44 and 1,933.05

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Solution

The fourth proportional to 7,776.46, 11,664.44 and 1,933.05 is: 2,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.46 : 11,664.44 = 1,933.05 : x
  2. Step 2: Convert to fraction form
    7,776.46/11,664.44 = 1,933.05/x
  3. Step 3: Cross multiply
    7,776.46x = 11,664.44 × 1,933.05
  4. Step 4: Simplify right side
    7,776.46x = 22,547,945.74
  5. Step 5: Solve for x
    x = 22,547,945.74/7,776.46
  6. Step 6: Final answer
    x = 2,899.51

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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.