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Finding the Fourth Proportional to 8,658.96, 11,949.38 and 5,477.93

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Solution

The fourth proportional to 8,658.96, 11,949.38 and 5,477.93 is: 7,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.96 : 11,949.38 = 5,477.93 : x
  2. Step 2: Convert to fraction form
    8,658.96/11,949.38 = 5,477.93/x
  3. Step 3: Cross multiply
    8,658.96x = 11,949.38 × 5,477.93
  4. Step 4: Simplify right side
    8,658.96x = 65,457,780.05
  5. Step 5: Solve for x
    x = 65,457,780.05/8,658.96
  6. Step 6: Final answer
    x = 7,559.54

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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.