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Finding the Fourth Proportional to 7,547.00, 10,414.08 and 4,189.73

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Solution

The fourth proportional to 7,547.00, 10,414.08 and 4,189.73 is: 5,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.00 : 10,414.08 = 4,189.73 : x
  2. Step 2: Convert to fraction form
    7,547.00/10,414.08 = 4,189.73/x
  3. Step 3: Cross multiply
    7,547.00x = 10,414.08 × 4,189.73
  4. Step 4: Simplify right side
    7,547.00x = 43,632,131.33
  5. Step 5: Solve for x
    x = 43,632,131.33/7,547.00
  6. Step 6: Final answer
    x = 5,781.39

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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.