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Finding the Fourth Proportional to 8,564.49, 12,846.67 and 4,405.66

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Solution

The fourth proportional to 8,564.49, 12,846.67 and 4,405.66 is: 6,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.49 : 12,846.67 = 4,405.66 : x
  2. Step 2: Convert to fraction form
    8,564.49/12,846.67 = 4,405.66/x
  3. Step 3: Cross multiply
    8,564.49x = 12,846.67 × 4,405.66
  4. Step 4: Simplify right side
    8,564.49x = 56,598,060.15
  5. Step 5: Solve for x
    x = 56,598,060.15/8,564.49
  6. Step 6: Final answer
    x = 6,608.46

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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.