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Finding the Fourth Proportional to 10,450.56, 14,422.41 and 6,907.62

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Solution

The fourth proportional to 10,450.56, 14,422.41 and 6,907.62 is: 9,532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.56 : 14,422.41 = 6,907.62 : x
  2. Step 2: Convert to fraction form
    10,450.56/14,422.41 = 6,907.62/x
  3. Step 3: Cross multiply
    10,450.56x = 14,422.41 × 6,907.62
  4. Step 4: Simplify right side
    10,450.56x = 99,624,527.76
  5. Step 5: Solve for x
    x = 99,624,527.76/10,450.56
  6. Step 6: Final answer
    x = 9,532.94

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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.