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Finding the Fourth Proportional to 8,765.68, 13,090.73 and 7,798

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Solution

The fourth proportional to 8,765.68, 13,090.73 and 7,798 is: 11,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.68 : 13,090.73 = 7,798 : x
  2. Step 2: Convert to fraction form
    8,765.68/13,090.73 = 7,798/x
  3. Step 3: Cross multiply
    8,765.68x = 13,090.73 × 7,798
  4. Step 4: Simplify right side
    8,765.68x = 102,081,512.54
  5. Step 5: Solve for x
    x = 102,081,512.54/8,765.68
  6. Step 6: Final answer
    x = 11,645.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.