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Finding the Fourth Proportional to 10,493.40, 15,745.56 and 4,648.64

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Solution

The fourth proportional to 10,493.40, 15,745.56 and 4,648.64 is: 6,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.40 : 15,745.56 = 4,648.64 : x
  2. Step 2: Convert to fraction form
    10,493.40/15,745.56 = 4,648.64/x
  3. Step 3: Cross multiply
    10,493.40x = 15,745.56 × 4,648.64
  4. Step 4: Simplify right side
    10,493.40x = 73,195,471.67
  5. Step 5: Solve for x
    x = 73,195,471.67/10,493.40
  6. Step 6: Final answer
    x = 6,975.38

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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.