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Finding the Fourth Proportional to 8,053.97, 11,108.86 and 7,783.03

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Solution

The fourth proportional to 8,053.97, 11,108.86 and 7,783.03 is: 10,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.97 : 11,108.86 = 7,783.03 : x
  2. Step 2: Convert to fraction form
    8,053.97/11,108.86 = 7,783.03/x
  3. Step 3: Cross multiply
    8,053.97x = 11,108.86 × 7,783.03
  4. Step 4: Simplify right side
    8,053.97x = 86,460,590.65
  5. Step 5: Solve for x
    x = 86,460,590.65/8,053.97
  6. Step 6: Final answer
    x = 10,735.15

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Double scale
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1.5x scale

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.