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Finding the Fourth Proportional to 10,254.64, 15,383.25 and 4,013.85

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Solution

The fourth proportional to 10,254.64, 15,383.25 and 4,013.85 is: 6,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.64 : 15,383.25 = 4,013.85 : x
  2. Step 2: Convert to fraction form
    10,254.64/15,383.25 = 4,013.85/x
  3. Step 3: Cross multiply
    10,254.64x = 15,383.25 × 4,013.85
  4. Step 4: Simplify right side
    10,254.64x = 61,745,961.03
  5. Step 5: Solve for x
    x = 61,745,961.03/10,254.64
  6. Step 6: Final answer
    x = 6,021.27

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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.