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Finding the Fourth Proportional to 7,460.52, 11,190.75 and 3,077.87

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Solution

The fourth proportional to 7,460.52, 11,190.75 and 3,077.87 is: 4,616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.52 : 11,190.75 = 3,077.87 : x
  2. Step 2: Convert to fraction form
    7,460.52/11,190.75 = 3,077.87/x
  3. Step 3: Cross multiply
    7,460.52x = 11,190.75 × 3,077.87
  4. Step 4: Simplify right side
    7,460.52x = 34,443,617.75
  5. Step 5: Solve for x
    x = 34,443,617.75/7,460.52
  6. Step 6: Final answer
    x = 4,616.79

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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.