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Finding the Fourth Proportional to 7,368.14, 10,168.11 and 4,011

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Solution

The fourth proportional to 7,368.14, 10,168.11 and 4,011 is: 5,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,368.14 : 10,168.11 = 4,011 : x
  2. Step 2: Convert to fraction form
    7,368.14/10,168.11 = 4,011/x
  3. Step 3: Cross multiply
    7,368.14x = 10,168.11 × 4,011
  4. Step 4: Simplify right side
    7,368.14x = 40,784,289.21
  5. Step 5: Solve for x
    x = 40,784,289.21/7,368.14
  6. Step 6: Final answer
    x = 5,535.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.