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Finding the Fourth Proportional to 7,415.10, 11,122.64 and 3,412.08

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Solution

The fourth proportional to 7,415.10, 11,122.64 and 3,412.08 is: 5,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.10 : 11,122.64 = 3,412.08 : x
  2. Step 2: Convert to fraction form
    7,415.10/11,122.64 = 3,412.08/x
  3. Step 3: Cross multiply
    7,415.10x = 11,122.64 × 3,412.08
  4. Step 4: Simplify right side
    7,415.10x = 37,951,337.49
  5. Step 5: Solve for x
    x = 37,951,337.49/7,415.10
  6. Step 6: Final answer
    x = 5,118.12

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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.