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Finding the Fourth Proportional to 10,015.31, 13,822.35 and 5,823.56

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Solution

The fourth proportional to 10,015.31, 13,822.35 and 5,823.56 is: 8,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.31 : 13,822.35 = 5,823.56 : x
  2. Step 2: Convert to fraction form
    10,015.31/13,822.35 = 5,823.56/x
  3. Step 3: Cross multiply
    10,015.31x = 13,822.35 × 5,823.56
  4. Step 4: Simplify right side
    10,015.31x = 80,495,297.28
  5. Step 5: Solve for x
    x = 80,495,297.28/10,015.31
  6. Step 6: Final answer
    x = 8,037.22

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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.