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Finding the Fourth Proportional to 8,051.30, 11,292.30 and 8,051.30

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Solution

The fourth proportional to 8,051.30, 11,292.30 and 8,051.30 is: 11,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.30 : 11,292.30 = 8,051.30 : x
  2. Step 2: Convert to fraction form
    8,051.30/11,292.30 = 8,051.30/x
  3. Step 3: Cross multiply
    8,051.30x = 11,292.30 × 8,051.30
  4. Step 4: Simplify right side
    8,051.30x = 90,917,694.99
  5. Step 5: Solve for x
    x = 90,917,694.99/8,051.30
  6. Step 6: Final answer
    x = 11,292.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.