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Finding the Fourth Proportional to 8,205.18, 11,303.39 and 6,526.05

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Solution

The fourth proportional to 8,205.18, 11,303.39 and 6,526.05 is: 8,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.18 : 11,303.39 = 6,526.05 : x
  2. Step 2: Convert to fraction form
    8,205.18/11,303.39 = 6,526.05/x
  3. Step 3: Cross multiply
    8,205.18x = 11,303.39 × 6,526.05
  4. Step 4: Simplify right side
    8,205.18x = 73,766,504.62
  5. Step 5: Solve for x
    x = 73,766,504.62/8,205.18
  6. Step 6: Final answer
    x = 8,990.24

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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.