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Finding the Fourth Proportional to 10,018.10, 13,826.22 and 5,543.26

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Solution

The fourth proportional to 10,018.10, 13,826.22 and 5,543.26 is: 7,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.10 : 13,826.22 = 5,543.26 : x
  2. Step 2: Convert to fraction form
    10,018.10/13,826.22 = 5,543.26/x
  3. Step 3: Cross multiply
    10,018.10x = 13,826.22 × 5,543.26
  4. Step 4: Simplify right side
    10,018.10x = 76,642,332.28
  5. Step 5: Solve for x
    x = 76,642,332.28/10,018.10
  6. Step 6: Final answer
    x = 7,650.39

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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.