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Finding the Fourth Proportional to 7,412.14, 11,118.21 and 5,118.22

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Solution

The fourth proportional to 7,412.14, 11,118.21 and 5,118.22 is: 7,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.14 : 11,118.21 = 5,118.22 : x
  2. Step 2: Convert to fraction form
    7,412.14/11,118.21 = 5,118.22/x
  3. Step 3: Cross multiply
    7,412.14x = 11,118.21 × 5,118.22
  4. Step 4: Simplify right side
    7,412.14x = 56,905,444.79
  5. Step 5: Solve for x
    x = 56,905,444.79/7,412.14
  6. Step 6: Final answer
    x = 7,677.33

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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.