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Finding the Fourth Proportional to 10,626.87, 14,665.23 and 5,847.06

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Solution

The fourth proportional to 10,626.87, 14,665.23 and 5,847.06 is: 8,069.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.87 : 14,665.23 = 5,847.06 : x
  2. Step 2: Convert to fraction form
    10,626.87/14,665.23 = 5,847.06/x
  3. Step 3: Cross multiply
    10,626.87x = 14,665.23 × 5,847.06
  4. Step 4: Simplify right side
    10,626.87x = 85,748,479.72
  5. Step 5: Solve for x
    x = 85,748,479.72/10,626.87
  6. Step 6: Final answer
    x = 8,069.03

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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.