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Finding the Fourth Proportional to 6,205.24, 8,558.04 and 5,263.48

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Solution

The fourth proportional to 6,205.24, 8,558.04 and 5,263.48 is: 7,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.24 : 8,558.04 = 5,263.48 : x
  2. Step 2: Convert to fraction form
    6,205.24/8,558.04 = 5,263.48/x
  3. Step 3: Cross multiply
    6,205.24x = 8,558.04 × 5,263.48
  4. Step 4: Simplify right side
    6,205.24x = 45,045,072.38
  5. Step 5: Solve for x
    x = 45,045,072.38/6,205.24
  6. Step 6: Final answer
    x = 7,259.20

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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.