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Finding the Fourth Proportional to 6,828.00, 10,239.72 and 2,666.93

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Solution

The fourth proportional to 6,828.00, 10,239.72 and 2,666.93 is: 3,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.00 : 10,239.72 = 2,666.93 : x
  2. Step 2: Convert to fraction form
    6,828.00/10,239.72 = 2,666.93/x
  3. Step 3: Cross multiply
    6,828.00x = 10,239.72 × 2,666.93
  4. Step 4: Simplify right side
    6,828.00x = 27,308,555.26
  5. Step 5: Solve for x
    x = 27,308,555.26/6,828.00
  6. Step 6: Final answer
    x = 3,999.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.