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Finding the Fourth Proportional to 7,153.49, 9,850.11 and 6,345.20

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Solution

The fourth proportional to 7,153.49, 9,850.11 and 6,345.20 is: 8,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.49 : 9,850.11 = 6,345.20 : x
  2. Step 2: Convert to fraction form
    7,153.49/9,850.11 = 6,345.20/x
  3. Step 3: Cross multiply
    7,153.49x = 9,850.11 × 6,345.20
  4. Step 4: Simplify right side
    7,153.49x = 62,500,917.97
  5. Step 5: Solve for x
    x = 62,500,917.97/7,153.49
  6. Step 6: Final answer
    x = 8,737.12

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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.