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Finding the Fourth Proportional to 7,776.24, 11,667.78 and 4,077.56

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Solution

The fourth proportional to 7,776.24, 11,667.78 and 4,077.56 is: 6,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.24 : 11,667.78 = 4,077.56 : x
  2. Step 2: Convert to fraction form
    7,776.24/11,667.78 = 4,077.56/x
  3. Step 3: Cross multiply
    7,776.24x = 11,667.78 × 4,077.56
  4. Step 4: Simplify right side
    7,776.24x = 47,576,073.02
  5. Step 5: Solve for x
    x = 47,576,073.02/7,776.24
  6. Step 6: Final answer
    x = 6,118.13

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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.