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Finding the Fourth Proportional to 8,030.79, 11,078.06 and 5,644.43

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Solution

The fourth proportional to 8,030.79, 11,078.06 and 5,644.43 is: 7,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.79 : 11,078.06 = 5,644.43 : x
  2. Step 2: Convert to fraction form
    8,030.79/11,078.06 = 5,644.43/x
  3. Step 3: Cross multiply
    8,030.79x = 11,078.06 × 5,644.43
  4. Step 4: Simplify right side
    8,030.79x = 62,529,334.21
  5. Step 5: Solve for x
    x = 62,529,334.21/8,030.79
  6. Step 6: Final answer
    x = 7,786.20

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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.