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Finding the Fourth Proportional to 10,596.79, 14,626.22 and 6,123.14

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Solution

The fourth proportional to 10,596.79, 14,626.22 and 6,123.14 is: 8,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.79 : 14,626.22 = 6,123.14 : x
  2. Step 2: Convert to fraction form
    10,596.79/14,626.22 = 6,123.14/x
  3. Step 3: Cross multiply
    10,596.79x = 14,626.22 × 6,123.14
  4. Step 4: Simplify right side
    10,596.79x = 89,558,392.73
  5. Step 5: Solve for x
    x = 89,558,392.73/10,596.79
  6. Step 6: Final answer
    x = 8,451.46

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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.