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Finding the Fourth Proportional to 7,852.55, 11,776.29 and 2,586.31

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Solution

The fourth proportional to 7,852.55, 11,776.29 and 2,586.31 is: 3,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.55 : 11,776.29 = 2,586.31 : x
  2. Step 2: Convert to fraction form
    7,852.55/11,776.29 = 2,586.31/x
  3. Step 3: Cross multiply
    7,852.55x = 11,776.29 × 2,586.31
  4. Step 4: Simplify right side
    7,852.55x = 30,457,107.15
  5. Step 5: Solve for x
    x = 30,457,107.15/7,852.55
  6. Step 6: Final answer
    x = 3,878.63

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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.