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Finding the Fourth Proportional to 7,782.85, 11,672.47 and 2,587.33

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Solution

The fourth proportional to 7,782.85, 11,672.47 and 2,587.33 is: 3,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.85 : 11,672.47 = 2,587.33 : x
  2. Step 2: Convert to fraction form
    7,782.85/11,672.47 = 2,587.33/x
  3. Step 3: Cross multiply
    7,782.85x = 11,672.47 × 2,587.33
  4. Step 4: Simplify right side
    7,782.85x = 30,200,531.81
  5. Step 5: Solve for x
    x = 30,200,531.81/7,782.85
  6. Step 6: Final answer
    x = 3,880.39

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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.