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Finding the Fourth Proportional to 10,623.24, 14,644.73 and 7,032.21

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Solution

The fourth proportional to 10,623.24, 14,644.73 and 7,032.21 is: 9,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.24 : 14,644.73 = 7,032.21 : x
  2. Step 2: Convert to fraction form
    10,623.24/14,644.73 = 7,032.21/x
  3. Step 3: Cross multiply
    10,623.24x = 14,644.73 × 7,032.21
  4. Step 4: Simplify right side
    10,623.24x = 102,984,816.75
  5. Step 5: Solve for x
    x = 102,984,816.75/10,623.24
  6. Step 6: Final answer
    x = 9,694.29

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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.