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Finding the Fourth Proportional to 8,051.30, 11,111.04 and 4,514.60

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Solution

The fourth proportional to 8,051.30, 11,111.04 and 4,514.60 is: 6,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.30 : 11,111.04 = 4,514.60 : x
  2. Step 2: Convert to fraction form
    8,051.30/11,111.04 = 4,514.60/x
  3. Step 3: Cross multiply
    8,051.30x = 11,111.04 × 4,514.60
  4. Step 4: Simplify right side
    8,051.30x = 50,161,901.18
  5. Step 5: Solve for x
    x = 50,161,901.18/8,051.30
  6. Step 6: Final answer
    x = 6,230.29

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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.