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Finding the Fourth Proportional to 8,486.69, 11,711.73 and 4,709.93

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Solution

The fourth proportional to 8,486.69, 11,711.73 and 4,709.93 is: 6,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.69 : 11,711.73 = 4,709.93 : x
  2. Step 2: Convert to fraction form
    8,486.69/11,711.73 = 4,709.93/x
  3. Step 3: Cross multiply
    8,486.69x = 11,711.73 × 4,709.93
  4. Step 4: Simplify right side
    8,486.69x = 55,161,369.92
  5. Step 5: Solve for x
    x = 55,161,369.92/8,486.69
  6. Step 6: Final answer
    x = 6,499.75

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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.