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Finding the Fourth Proportional to 7,460.90, 11,195.40 and 3,078.80

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Solution

The fourth proportional to 7,460.90, 11,195.40 and 3,078.80 is: 4,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.90 : 11,195.40 = 3,078.80 : x
  2. Step 2: Convert to fraction form
    7,460.90/11,195.40 = 3,078.80/x
  3. Step 3: Cross multiply
    7,460.90x = 11,195.40 × 3,078.80
  4. Step 4: Simplify right side
    7,460.90x = 34,468,397.52
  5. Step 5: Solve for x
    x = 34,468,397.52/7,460.90
  6. Step 6: Final answer
    x = 4,619.87

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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.