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Finding the Fourth Proportional to 8,828.64, 13,224.24 and 6,042.24

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Solution

The fourth proportional to 8,828.64, 13,224.24 and 6,042.24 is: 9,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828.64 : 13,224.24 = 6,042.24 : x
  2. Step 2: Convert to fraction form
    8,828.64/13,224.24 = 6,042.24/x
  3. Step 3: Cross multiply
    8,828.64x = 13,224.24 × 6,042.24
  4. Step 4: Simplify right side
    8,828.64x = 79,904,031.90
  5. Step 5: Solve for x
    x = 79,904,031.90/8,828.64
  6. Step 6: Final answer
    x = 9,050.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.