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Finding the Fourth Proportional to 7,852.53, 11,777.49 and 2,587.60

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Solution

The fourth proportional to 7,852.53, 11,777.49 and 2,587.60 is: 3,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.53 : 11,777.49 = 2,587.60 : x
  2. Step 2: Convert to fraction form
    7,852.53/11,777.49 = 2,587.60/x
  3. Step 3: Cross multiply
    7,852.53x = 11,777.49 × 2,587.60
  4. Step 4: Simplify right side
    7,852.53x = 30,475,433.12
  5. Step 5: Solve for x
    x = 30,475,433.12/7,852.53
  6. Step 6: Final answer
    x = 3,880.97

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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.