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Finding the Fourth Proportional to 7,460.56, 10,295.64 and 4,103.28

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Solution

The fourth proportional to 7,460.56, 10,295.64 and 4,103.28 is: 5,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.56 : 10,295.64 = 4,103.28 : x
  2. Step 2: Convert to fraction form
    7,460.56/10,295.64 = 4,103.28/x
  3. Step 3: Cross multiply
    7,460.56x = 10,295.64 × 4,103.28
  4. Step 4: Simplify right side
    7,460.56x = 42,245,893.70
  5. Step 5: Solve for x
    x = 42,245,893.70/7,460.56
  6. Step 6: Final answer
    x = 5,662.56

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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.