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Finding the Fourth Proportional to 8,558.57, 11,812.32 and 5,537.40

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Solution

The fourth proportional to 8,558.57, 11,812.32 and 5,537.40 is: 7,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,558.57 : 11,812.32 = 5,537.40 : x
  2. Step 2: Convert to fraction form
    8,558.57/11,812.32 = 5,537.40/x
  3. Step 3: Cross multiply
    8,558.57x = 11,812.32 × 5,537.40
  4. Step 4: Simplify right side
    8,558.57x = 65,409,540.77
  5. Step 5: Solve for x
    x = 65,409,540.77/8,558.57
  6. Step 6: Final answer
    x = 7,642.58

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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.