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Finding the Fourth Proportional to 7,858.98, 11,765.08 and 5,077.54

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Solution

The fourth proportional to 7,858.98, 11,765.08 and 5,077.54 is: 7,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.98 : 11,765.08 = 5,077.54 : x
  2. Step 2: Convert to fraction form
    7,858.98/11,765.08 = 5,077.54/x
  3. Step 3: Cross multiply
    7,858.98x = 11,765.08 × 5,077.54
  4. Step 4: Simplify right side
    7,858.98x = 59,737,664.30
  5. Step 5: Solve for x
    x = 59,737,664.30/7,858.98
  6. Step 6: Final answer
    x = 7,601.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.