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Finding the Fourth Proportional to 11,051.30, 15,264.50 and 8,021.59

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Solution

The fourth proportional to 11,051.30, 15,264.50 and 8,021.59 is: 11,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.30 : 15,264.50 = 8,021.59 : x
  2. Step 2: Convert to fraction form
    11,051.30/15,264.50 = 8,021.59/x
  3. Step 3: Cross multiply
    11,051.30x = 15,264.50 × 8,021.59
  4. Step 4: Simplify right side
    11,051.30x = 122,445,464.18
  5. Step 5: Solve for x
    x = 122,445,464.18/11,051.30
  6. Step 6: Final answer
    x = 11,079.73

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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.