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Finding the Fourth Proportional to 10,205.44, 15,308.16 and 4,048

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Solution

The fourth proportional to 10,205.44, 15,308.16 and 4,048 is: 6,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.44 : 15,308.16 = 4,048 : x
  2. Step 2: Convert to fraction form
    10,205.44/15,308.16 = 4,048/x
  3. Step 3: Cross multiply
    10,205.44x = 15,308.16 × 4,048
  4. Step 4: Simplify right side
    10,205.44x = 61,967,431.68
  5. Step 5: Solve for x
    x = 61,967,431.68/10,205.44
  6. Step 6: Final answer
    x = 6,072

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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.