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Finding the Fourth Proportional to 8,240.86, 11,391.08 and 7,586.94

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Solution

The fourth proportional to 8,240.86, 11,391.08 and 7,586.94 is: 10,487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.86 : 11,391.08 = 7,586.94 : x
  2. Step 2: Convert to fraction form
    8,240.86/11,391.08 = 7,586.94/x
  3. Step 3: Cross multiply
    8,240.86x = 11,391.08 × 7,586.94
  4. Step 4: Simplify right side
    8,240.86x = 86,423,440.50
  5. Step 5: Solve for x
    x = 86,423,440.50/8,240.86
  6. Step 6: Final answer
    x = 10,487.19

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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.