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Finding the Fourth Proportional to 8,590.78, 11,826.94 and 7,471.12

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Solution

The fourth proportional to 8,590.78, 11,826.94 and 7,471.12 is: 10,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.78 : 11,826.94 = 7,471.12 : x
  2. Step 2: Convert to fraction form
    8,590.78/11,826.94 = 7,471.12/x
  3. Step 3: Cross multiply
    8,590.78x = 11,826.94 × 7,471.12
  4. Step 4: Simplify right side
    8,590.78x = 88,360,487.97
  5. Step 5: Solve for x
    x = 88,360,487.97/8,590.78
  6. Step 6: Final answer
    x = 10,285.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.