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Finding the Fourth Proportional to 8,486.00, 11,710.37 and 4,709.33

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Solution

The fourth proportional to 8,486.00, 11,710.37 and 4,709.33 is: 6,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.00 : 11,710.37 = 4,709.33 : x
  2. Step 2: Convert to fraction form
    8,486.00/11,710.37 = 4,709.33/x
  3. Step 3: Cross multiply
    8,486.00x = 11,710.37 × 4,709.33
  4. Step 4: Simplify right side
    8,486.00x = 55,147,914.65
  5. Step 5: Solve for x
    x = 55,147,914.65/8,486.00
  6. Step 6: Final answer
    x = 6,498.70

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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.