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Finding the Fourth Proportional to 7,412.16, 11,123.07 and 2,732.22

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Solution

The fourth proportional to 7,412.16, 11,123.07 and 2,732.22 is: 4,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.16 : 11,123.07 = 2,732.22 : x
  2. Step 2: Convert to fraction form
    7,412.16/11,123.07 = 2,732.22/x
  3. Step 3: Cross multiply
    7,412.16x = 11,123.07 × 2,732.22
  4. Step 4: Simplify right side
    7,412.16x = 30,390,674.32
  5. Step 5: Solve for x
    x = 30,390,674.32/7,412.16
  6. Step 6: Final answer
    x = 4,100.11

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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.