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Finding the Fourth Proportional to 10,571.04, 15,844.32 and 5,889.96

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Solution

The fourth proportional to 10,571.04, 15,844.32 and 5,889.96 is: 8,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.04 : 15,844.32 = 5,889.96 : x
  2. Step 2: Convert to fraction form
    10,571.04/15,844.32 = 5,889.96/x
  3. Step 3: Cross multiply
    10,571.04x = 15,844.32 × 5,889.96
  4. Step 4: Simplify right side
    10,571.04x = 93,322,411.03
  5. Step 5: Solve for x
    x = 93,322,411.03/10,571.04
  6. Step 6: Final answer
    x = 8,828.12

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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.