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Finding the Fourth Proportional to 7,884.24, 10,889.94 and 5,903.64

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Solution

The fourth proportional to 7,884.24, 10,889.94 and 5,903.64 is: 8,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.24 : 10,889.94 = 5,903.64 : x
  2. Step 2: Convert to fraction form
    7,884.24/10,889.94 = 5,903.64/x
  3. Step 3: Cross multiply
    7,884.24x = 10,889.94 × 5,903.64
  4. Step 4: Simplify right side
    7,884.24x = 64,290,285.38
  5. Step 5: Solve for x
    x = 64,290,285.38/7,884.24
  6. Step 6: Final answer
    x = 8,154.28

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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.