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Finding the Fourth Proportional to 8,972.49, 13,450.02 and 5,025.63

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Solution

The fourth proportional to 8,972.49, 13,450.02 and 5,025.63 is: 7,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.49 : 13,450.02 = 5,025.63 : x
  2. Step 2: Convert to fraction form
    8,972.49/13,450.02 = 5,025.63/x
  3. Step 3: Cross multiply
    8,972.49x = 13,450.02 × 5,025.63
  4. Step 4: Simplify right side
    8,972.49x = 67,594,824.01
  5. Step 5: Solve for x
    x = 67,594,824.01/8,972.49
  6. Step 6: Final answer
    x = 7,533.56

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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.