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Finding the Fourth Proportional to 10,774.49, 14,866.34 and 6,236.46

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Solution

The fourth proportional to 10,774.49, 14,866.34 and 6,236.46 is: 8,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.49 : 14,866.34 = 6,236.46 : x
  2. Step 2: Convert to fraction form
    10,774.49/14,866.34 = 6,236.46/x
  3. Step 3: Cross multiply
    10,774.49x = 14,866.34 × 6,236.46
  4. Step 4: Simplify right side
    10,774.49x = 92,713,303.57
  5. Step 5: Solve for x
    x = 92,713,303.57/10,774.49
  6. Step 6: Final answer
    x = 8,604.89

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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.