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Finding the Fourth Proportional to 8,567.56, 11,828.46 and 5,739.04

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Solution

The fourth proportional to 8,567.56, 11,828.46 and 5,739.04 is: 7,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.56 : 11,828.46 = 5,739.04 : x
  2. Step 2: Convert to fraction form
    8,567.56/11,828.46 = 5,739.04/x
  3. Step 3: Cross multiply
    8,567.56x = 11,828.46 × 5,739.04
  4. Step 4: Simplify right side
    8,567.56x = 67,884,005.08
  5. Step 5: Solve for x
    x = 67,884,005.08/8,567.56
  6. Step 6: Final answer
    x = 7,923.38

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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.