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Finding the Fourth Proportional to 7,607.12, 11,412.92 and 2,412.88

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Solution

The fourth proportional to 7,607.12, 11,412.92 and 2,412.88 is: 3,620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.12 : 11,412.92 = 2,412.88 : x
  2. Step 2: Convert to fraction form
    7,607.12/11,412.92 = 2,412.88/x
  3. Step 3: Cross multiply
    7,607.12x = 11,412.92 × 2,412.88
  4. Step 4: Simplify right side
    7,607.12x = 27,538,006.41
  5. Step 5: Solve for x
    x = 27,538,006.41/7,607.12
  6. Step 6: Final answer
    x = 3,620.03

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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.