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Finding the Fourth Proportional to 8,051.79, 11,111.60 and 5,220.30

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Solution

The fourth proportional to 8,051.79, 11,111.60 and 5,220.30 is: 7,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.79 : 11,111.60 = 5,220.30 : x
  2. Step 2: Convert to fraction form
    8,051.79/11,111.60 = 5,220.30/x
  3. Step 3: Cross multiply
    8,051.79x = 11,111.60 × 5,220.30
  4. Step 4: Simplify right side
    8,051.79x = 58,005,859.38
  5. Step 5: Solve for x
    x = 58,005,859.38/8,051.79
  6. Step 6: Final answer
    x = 7,204.09

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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.