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Finding the Fourth Proportional to 7,632.14, 11,450.27 and 6,900.19

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Solution

The fourth proportional to 7,632.14, 11,450.27 and 6,900.19 is: 10,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.14 : 11,450.27 = 6,900.19 : x
  2. Step 2: Convert to fraction form
    7,632.14/11,450.27 = 6,900.19/x
  3. Step 3: Cross multiply
    7,632.14x = 11,450.27 × 6,900.19
  4. Step 4: Simplify right side
    7,632.14x = 79,009,027.18
  5. Step 5: Solve for x
    x = 79,009,027.18/7,632.14
  6. Step 6: Final answer
    x = 10,352.15

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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.