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Finding the Fourth Proportional to 7,153.45, 10,736.32 and 6,224.66

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Solution

The fourth proportional to 7,153.45, 10,736.32 and 6,224.66 is: 9,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.45 : 10,736.32 = 6,224.66 : x
  2. Step 2: Convert to fraction form
    7,153.45/10,736.32 = 6,224.66/x
  3. Step 3: Cross multiply
    7,153.45x = 10,736.32 × 6,224.66
  4. Step 4: Simplify right side
    7,153.45x = 66,829,936.01
  5. Step 5: Solve for x
    x = 66,829,936.01/7,153.45
  6. Step 6: Final answer
    x = 9,342.34

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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.