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Finding the Fourth Proportional to 10,027.21, 13,829.16 and 7,515.22

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Solution

The fourth proportional to 10,027.21, 13,829.16 and 7,515.22 is: 10,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.21 : 13,829.16 = 7,515.22 : x
  2. Step 2: Convert to fraction form
    10,027.21/13,829.16 = 7,515.22/x
  3. Step 3: Cross multiply
    10,027.21x = 13,829.16 × 7,515.22
  4. Step 4: Simplify right side
    10,027.21x = 103,929,179.82
  5. Step 5: Solve for x
    x = 103,929,179.82/10,027.21
  6. Step 6: Final answer
    x = 10,364.72

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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.