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Finding the Fourth Proportional to 7,884.01, 10,878 and 5,194.93

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Solution

The fourth proportional to 7,884.01, 10,878 and 5,194.93 is: 7,167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.01 : 10,878 = 5,194.93 : x
  2. Step 2: Convert to fraction form
    7,884.01/10,878 = 5,194.93/x
  3. Step 3: Cross multiply
    7,884.01x = 10,878 × 5,194.93
  4. Step 4: Simplify right side
    7,884.01x = 56,510,448.54
  5. Step 5: Solve for x
    x = 56,510,448.54/7,884.01
  6. Step 6: Final answer
    x = 7,167.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.