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Finding the Fourth Proportional to 10,605.21, 15,896.88 and 4,763.49

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Solution

The fourth proportional to 10,605.21, 15,896.88 and 4,763.49 is: 7,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.21 : 15,896.88 = 4,763.49 : x
  2. Step 2: Convert to fraction form
    10,605.21/15,896.88 = 4,763.49/x
  3. Step 3: Cross multiply
    10,605.21x = 15,896.88 × 4,763.49
  4. Step 4: Simplify right side
    10,605.21x = 75,724,628.91
  5. Step 5: Solve for x
    x = 75,724,628.91/10,605.21
  6. Step 6: Final answer
    x = 7,140.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.