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Finding the Fourth Proportional to 7,725.69, 11,578.39 and 4,395.47

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Solution

The fourth proportional to 7,725.69, 11,578.39 and 4,395.47 is: 6,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.69 : 11,578.39 = 4,395.47 : x
  2. Step 2: Convert to fraction form
    7,725.69/11,578.39 = 4,395.47/x
  3. Step 3: Cross multiply
    7,725.69x = 11,578.39 × 4,395.47
  4. Step 4: Simplify right side
    7,725.69x = 50,892,465.89
  5. Step 5: Solve for x
    x = 50,892,465.89/7,725.69
  6. Step 6: Final answer
    x = 6,587.43

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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.