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Finding the Fourth Proportional to 7,768.61, 10,725.72 and 5,350.05

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Solution

The fourth proportional to 7,768.61, 10,725.72 and 5,350.05 is: 7,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.61 : 10,725.72 = 5,350.05 : x
  2. Step 2: Convert to fraction form
    7,768.61/10,725.72 = 5,350.05/x
  3. Step 3: Cross multiply
    7,768.61x = 10,725.72 × 5,350.05
  4. Step 4: Simplify right side
    7,768.61x = 57,383,118.22
  5. Step 5: Solve for x
    x = 57,383,118.22/7,768.61
  6. Step 6: Final answer
    x = 7,386.54

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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.