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Finding the Fourth Proportional to 10,592.64, 15,884.64 and 3,571.20

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Solution

The fourth proportional to 10,592.64, 15,884.64 and 3,571.20 is: 5,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.64 : 15,884.64 = 3,571.20 : x
  2. Step 2: Convert to fraction form
    10,592.64/15,884.64 = 3,571.20/x
  3. Step 3: Cross multiply
    10,592.64x = 15,884.64 × 3,571.20
  4. Step 4: Simplify right side
    10,592.64x = 56,727,226.37
  5. Step 5: Solve for x
    x = 56,727,226.37/10,592.64
  6. Step 6: Final answer
    x = 5,355.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.