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Finding the Fourth Proportional to 10,626.80, 14,664 and 5,845.92

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Solution

The fourth proportional to 10,626.80, 14,664 and 5,845.92 is: 8,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.80 : 14,664 = 5,845.92 : x
  2. Step 2: Convert to fraction form
    10,626.80/14,664 = 5,845.92/x
  3. Step 3: Cross multiply
    10,626.80x = 14,664 × 5,845.92
  4. Step 4: Simplify right side
    10,626.80x = 85,724,570.88
  5. Step 5: Solve for x
    x = 85,724,570.88/10,626.80
  6. Step 6: Final answer
    x = 8,066.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.