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Finding the Fourth Proportional to 10,018.22, 13,827.93 and 5,827.28

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Solution

The fourth proportional to 10,018.22, 13,827.93 and 5,827.28 is: 8,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.22 : 13,827.93 = 5,827.28 : x
  2. Step 2: Convert to fraction form
    10,018.22/13,827.93 = 5,827.28/x
  3. Step 3: Cross multiply
    10,018.22x = 13,827.93 × 5,827.28
  4. Step 4: Simplify right side
    10,018.22x = 80,579,219.93
  5. Step 5: Solve for x
    x = 80,579,219.93/10,018.22
  6. Step 6: Final answer
    x = 8,043.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.