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Finding the Fourth Proportional to 8,308.50, 11,466.09 and 4,582.50

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Solution

The fourth proportional to 8,308.50, 11,466.09 and 4,582.50 is: 6,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.50 : 11,466.09 = 4,582.50 : x
  2. Step 2: Convert to fraction form
    8,308.50/11,466.09 = 4,582.50/x
  3. Step 3: Cross multiply
    8,308.50x = 11,466.09 × 4,582.50
  4. Step 4: Simplify right side
    8,308.50x = 52,543,357.43
  5. Step 5: Solve for x
    x = 52,543,357.43/8,308.50
  6. Step 6: Final answer
    x = 6,324.05

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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.