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Finding the Fourth Proportional to 10,231, 15,337.36 and 3,656.20

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Solution

The fourth proportional to 10,231, 15,337.36 and 3,656.20 is: 5,481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231 : 15,337.36 = 3,656.20 : x
  2. Step 2: Convert to fraction form
    10,231/15,337.36 = 3,656.20/x
  3. Step 3: Cross multiply
    10,231x = 15,337.36 × 3,656.20
  4. Step 4: Simplify right side
    10,231x = 56,076,455.63
  5. Step 5: Solve for x
    x = 56,076,455.63/10,231
  6. Step 6: Final answer
    x = 5,481.03

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