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Finding the Fourth Proportional to 8,601.38, 12,830.65 and 8,313.44

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Solution

The fourth proportional to 8,601.38, 12,830.65 and 8,313.44 is: 12,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.38 : 12,830.65 = 8,313.44 : x
  2. Step 2: Convert to fraction form
    8,601.38/12,830.65 = 8,313.44/x
  3. Step 3: Cross multiply
    8,601.38x = 12,830.65 × 8,313.44
  4. Step 4: Simplify right side
    8,601.38x = 106,666,838.94
  5. Step 5: Solve for x
    x = 106,666,838.94/8,601.38
  6. Step 6: Final answer
    x = 12,401.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.