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Finding the Fourth Proportional to 7,837.02, 10,801.62 and 7,467.93

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Solution

The fourth proportional to 7,837.02, 10,801.62 and 7,467.93 is: 10,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.02 : 10,801.62 = 7,467.93 : x
  2. Step 2: Convert to fraction form
    7,837.02/10,801.62 = 7,467.93/x
  3. Step 3: Cross multiply
    7,837.02x = 10,801.62 × 7,467.93
  4. Step 4: Simplify right side
    7,837.02x = 80,665,742.05
  5. Step 5: Solve for x
    x = 80,665,742.05/7,837.02
  6. Step 6: Final answer
    x = 10,292.91

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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.