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Finding the Fourth Proportional to 7,852.88, 11,778.54 and 2,587.73

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Solution

The fourth proportional to 7,852.88, 11,778.54 and 2,587.73 is: 3,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.88 : 11,778.54 = 2,587.73 : x
  2. Step 2: Convert to fraction form
    7,852.88/11,778.54 = 2,587.73/x
  3. Step 3: Cross multiply
    7,852.88x = 11,778.54 × 2,587.73
  4. Step 4: Simplify right side
    7,852.88x = 30,479,681.31
  5. Step 5: Solve for x
    x = 30,479,681.31/7,852.88
  6. Step 6: Final answer
    x = 3,881.34

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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.