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Finding the Fourth Proportional to 8,389.77, 12,586.18 and 3,456.67

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Solution

The fourth proportional to 8,389.77, 12,586.18 and 3,456.67 is: 5,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.77 : 12,586.18 = 3,456.67 : x
  2. Step 2: Convert to fraction form
    8,389.77/12,586.18 = 3,456.67/x
  3. Step 3: Cross multiply
    8,389.77x = 12,586.18 × 3,456.67
  4. Step 4: Simplify right side
    8,389.77x = 43,506,270.82
  5. Step 5: Solve for x
    x = 43,506,270.82/8,389.77
  6. Step 6: Final answer
    x = 5,185.63

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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.