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Finding the Fourth Proportional to 8,205.45, 12,309.03 and 2,658.57

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Solution

The fourth proportional to 8,205.45, 12,309.03 and 2,658.57 is: 3,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.45 : 12,309.03 = 2,658.57 : x
  2. Step 2: Convert to fraction form
    8,205.45/12,309.03 = 2,658.57/x
  3. Step 3: Cross multiply
    8,205.45x = 12,309.03 × 2,658.57
  4. Step 4: Simplify right side
    8,205.45x = 32,724,417.89
  5. Step 5: Solve for x
    x = 32,724,417.89/8,205.45
  6. Step 6: Final answer
    x = 3,988.13

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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.