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Finding the Fourth Proportional to 10,558.16, 14,571 and 5,842.64

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Solution

The fourth proportional to 10,558.16, 14,571 and 5,842.64 is: 8,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.16 : 14,571 = 5,842.64 : x
  2. Step 2: Convert to fraction form
    10,558.16/14,571 = 5,842.64/x
  3. Step 3: Cross multiply
    10,558.16x = 14,571 × 5,842.64
  4. Step 4: Simplify right side
    10,558.16x = 85,133,107.44
  5. Step 5: Solve for x
    x = 85,133,107.44/10,558.16
  6. Step 6: Final answer
    x = 8,063.25

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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.