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Finding the Fourth Proportional to 7,625.82, 10,511.07 and 5,107.02

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Solution

The fourth proportional to 7,625.82, 10,511.07 and 5,107.02 is: 7,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.82 : 10,511.07 = 5,107.02 : x
  2. Step 2: Convert to fraction form
    7,625.82/10,511.07 = 5,107.02/x
  3. Step 3: Cross multiply
    7,625.82x = 10,511.07 × 5,107.02
  4. Step 4: Simplify right side
    7,625.82x = 53,680,244.71
  5. Step 5: Solve for x
    x = 53,680,244.71/7,625.82
  6. Step 6: Final answer
    x = 7,039.28

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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.