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Finding the Fourth Proportional to 7,710.14, 11,558.27 and 2,776.31

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Solution

The fourth proportional to 7,710.14, 11,558.27 and 2,776.31 is: 4,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.14 : 11,558.27 = 2,776.31 : x
  2. Step 2: Convert to fraction form
    7,710.14/11,558.27 = 2,776.31/x
  3. Step 3: Cross multiply
    7,710.14x = 11,558.27 × 2,776.31
  4. Step 4: Simplify right side
    7,710.14x = 32,089,376.42
  5. Step 5: Solve for x
    x = 32,089,376.42/7,710.14
  6. Step 6: Final answer
    x = 4,161.97

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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.