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Finding the Fourth Proportional to 7,884.86, 10,880.62 and 4,525.31

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Solution

The fourth proportional to 7,884.86, 10,880.62 and 4,525.31 is: 6,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.86 : 10,880.62 = 4,525.31 : x
  2. Step 2: Convert to fraction form
    7,884.86/10,880.62 = 4,525.31/x
  3. Step 3: Cross multiply
    7,884.86x = 10,880.62 × 4,525.31
  4. Step 4: Simplify right side
    7,884.86x = 49,238,194.38
  5. Step 5: Solve for x
    x = 49,238,194.38/7,884.86
  6. Step 6: Final answer
    x = 6,244.65

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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.