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Finding the Fourth Proportional to 8,559.12, 11,812.68 and 4,833.84

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Solution

The fourth proportional to 8,559.12, 11,812.68 and 4,833.84 is: 6,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.12 : 11,812.68 = 4,833.84 : x
  2. Step 2: Convert to fraction form
    8,559.12/11,812.68 = 4,833.84/x
  3. Step 3: Cross multiply
    8,559.12x = 11,812.68 × 4,833.84
  4. Step 4: Simplify right side
    8,559.12x = 57,100,605.09
  5. Step 5: Solve for x
    x = 57,100,605.09/8,559.12
  6. Step 6: Final answer
    x = 6,671.32

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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.