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Finding the Fourth Proportional to 7,812.56, 11,721 and 4,352.24

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Solution

The fourth proportional to 7,812.56, 11,721 and 4,352.24 is: 6,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.56 : 11,721 = 4,352.24 : x
  2. Step 2: Convert to fraction form
    7,812.56/11,721 = 4,352.24/x
  3. Step 3: Cross multiply
    7,812.56x = 11,721 × 4,352.24
  4. Step 4: Simplify right side
    7,812.56x = 51,012,605.04
  5. Step 5: Solve for x
    x = 51,012,605.04/7,812.56
  6. Step 6: Final answer
    x = 6,529.56

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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.