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Finding the Fourth Proportional to 8,465.99, 12,703.71 and 3,204.50

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Solution

The fourth proportional to 8,465.99, 12,703.71 and 3,204.50 is: 4,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.99 : 12,703.71 = 3,204.50 : x
  2. Step 2: Convert to fraction form
    8,465.99/12,703.71 = 3,204.50/x
  3. Step 3: Cross multiply
    8,465.99x = 12,703.71 × 3,204.50
  4. Step 4: Simplify right side
    8,465.99x = 40,709,022.67
  5. Step 5: Solve for x
    x = 40,709,022.67/8,465.99
  6. Step 6: Final answer
    x = 4,808.54

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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.