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Finding the Fourth Proportional to 7,460.82, 10,295.80 and 4,103.60

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Solution

The fourth proportional to 7,460.82, 10,295.80 and 4,103.60 is: 5,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.82 : 10,295.80 = 4,103.60 : x
  2. Step 2: Convert to fraction form
    7,460.82/10,295.80 = 4,103.60/x
  3. Step 3: Cross multiply
    7,460.82x = 10,295.80 × 4,103.60
  4. Step 4: Simplify right side
    7,460.82x = 42,249,844.88
  5. Step 5: Solve for x
    x = 42,249,844.88/7,460.82
  6. Step 6: Final answer
    x = 5,662.90

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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.