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Finding the Fourth Proportional to 7,083.94, 10,627.81 and 6,309.25

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Solution

The fourth proportional to 7,083.94, 10,627.81 and 6,309.25 is: 9,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.94 : 10,627.81 = 6,309.25 : x
  2. Step 2: Convert to fraction form
    7,083.94/10,627.81 = 6,309.25/x
  3. Step 3: Cross multiply
    7,083.94x = 10,627.81 × 6,309.25
  4. Step 4: Simplify right side
    7,083.94x = 67,053,510.24
  5. Step 5: Solve for x
    x = 67,053,510.24/7,083.94
  6. Step 6: Final answer
    x = 9,465.57

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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.