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Finding the Fourth Proportional to 7,605.20, 11,406.56 and 2,412.32

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Solution

The fourth proportional to 7,605.20, 11,406.56 and 2,412.32 is: 3,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.20 : 11,406.56 = 2,412.32 : x
  2. Step 2: Convert to fraction form
    7,605.20/11,406.56 = 2,412.32/x
  3. Step 3: Cross multiply
    7,605.20x = 11,406.56 × 2,412.32
  4. Step 4: Simplify right side
    7,605.20x = 27,516,272.82
  5. Step 5: Solve for x
    x = 27,516,272.82/7,605.20
  6. Step 6: Final answer
    x = 3,618.09

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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.