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Finding the Fourth Proportional to 7,860.56, 11,790.87 and 7,466.39

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Solution

The fourth proportional to 7,860.56, 11,790.87 and 7,466.39 is: 11,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.56 : 11,790.87 = 7,466.39 : x
  2. Step 2: Convert to fraction form
    7,860.56/11,790.87 = 7,466.39/x
  3. Step 3: Cross multiply
    7,860.56x = 11,790.87 × 7,466.39
  4. Step 4: Simplify right side
    7,860.56x = 88,035,174.90
  5. Step 5: Solve for x
    x = 88,035,174.90/7,860.56
  6. Step 6: Final answer
    x = 11,199.61

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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.