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Finding the Fourth Proportional to 8,650.98, 12,980.70 and 5,363.19

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Solution

The fourth proportional to 8,650.98, 12,980.70 and 5,363.19 is: 8,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.98 : 12,980.70 = 5,363.19 : x
  2. Step 2: Convert to fraction form
    8,650.98/12,980.70 = 5,363.19/x
  3. Step 3: Cross multiply
    8,650.98x = 12,980.70 × 5,363.19
  4. Step 4: Simplify right side
    8,650.98x = 69,617,960.43
  5. Step 5: Solve for x
    x = 69,617,960.43/8,650.98
  6. Step 6: Final answer
    x = 8,047.41

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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.