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Finding the Fourth Proportional to 7,588.73, 10,467.94 and 5,907.48

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Solution

The fourth proportional to 7,588.73, 10,467.94 and 5,907.48 is: 8,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.73 : 10,467.94 = 5,907.48 : x
  2. Step 2: Convert to fraction form
    7,588.73/10,467.94 = 5,907.48/x
  3. Step 3: Cross multiply
    7,588.73x = 10,467.94 × 5,907.48
  4. Step 4: Simplify right side
    7,588.73x = 61,839,064.31
  5. Step 5: Solve for x
    x = 61,839,064.31/7,588.73
  6. Step 6: Final answer
    x = 8,148.80

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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.