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Finding the Fourth Proportional to 10,596.84, 14,622.12 and 6,346.91

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Solution

The fourth proportional to 10,596.84, 14,622.12 and 6,346.91 is: 8,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.84 : 14,622.12 = 6,346.91 : x
  2. Step 2: Convert to fraction form
    10,596.84/14,622.12 = 6,346.91/x
  3. Step 3: Cross multiply
    10,596.84x = 14,622.12 × 6,346.91
  4. Step 4: Simplify right side
    10,596.84x = 92,805,206.54
  5. Step 5: Solve for x
    x = 92,805,206.54/10,596.84
  6. Step 6: Final answer
    x = 8,757.82

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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.