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Finding the Fourth Proportional to 8,077.79, 11,144.63 and 5,094.38

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Solution

The fourth proportional to 8,077.79, 11,144.63 and 5,094.38 is: 7,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.79 : 11,144.63 = 5,094.38 : x
  2. Step 2: Convert to fraction form
    8,077.79/11,144.63 = 5,094.38/x
  3. Step 3: Cross multiply
    8,077.79x = 11,144.63 × 5,094.38
  4. Step 4: Simplify right side
    8,077.79x = 56,774,954.71
  5. Step 5: Solve for x
    x = 56,774,954.71/8,077.79
  6. Step 6: Final answer
    x = 7,028.53

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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.