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Finding the Fourth Proportional to 10,599.26, 14,626.16 and 6,123.20

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Solution

The fourth proportional to 10,599.26, 14,626.16 and 6,123.20 is: 8,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.26 : 14,626.16 = 6,123.20 : x
  2. Step 2: Convert to fraction form
    10,599.26/14,626.16 = 6,123.20/x
  3. Step 3: Cross multiply
    10,599.26x = 14,626.16 × 6,123.20
  4. Step 4: Simplify right side
    10,599.26x = 89,558,902.91
  5. Step 5: Solve for x
    x = 89,558,902.91/10,599.26
  6. Step 6: Final answer
    x = 8,449.54

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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.