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Finding the Fourth Proportional to 8,298.99, 11,451.92 and 4,761.45

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Solution

The fourth proportional to 8,298.99, 11,451.92 and 4,761.45 is: 6,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.99 : 11,451.92 = 4,761.45 : x
  2. Step 2: Convert to fraction form
    8,298.99/11,451.92 = 4,761.45/x
  3. Step 3: Cross multiply
    8,298.99x = 11,451.92 × 4,761.45
  4. Step 4: Simplify right side
    8,298.99x = 54,527,720.68
  5. Step 5: Solve for x
    x = 54,527,720.68/8,298.99
  6. Step 6: Final answer
    x = 6,570.40

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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.