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Finding the Fourth Proportional to 7,856.79, 11,782.69 and 2,590.82

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Solution

The fourth proportional to 7,856.79, 11,782.69 and 2,590.82 is: 3,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.79 : 11,782.69 = 2,590.82 : x
  2. Step 2: Convert to fraction form
    7,856.79/11,782.69 = 2,590.82/x
  3. Step 3: Cross multiply
    7,856.79x = 11,782.69 × 2,590.82
  4. Step 4: Simplify right side
    7,856.79x = 30,526,815.95
  5. Step 5: Solve for x
    x = 30,526,815.95/7,856.79
  6. Step 6: Final answer
    x = 3,885.41

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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.