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Finding the Fourth Proportional to 7,436.71, 11,157.09 and 4,152.16

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Solution

The fourth proportional to 7,436.71, 11,157.09 and 4,152.16 is: 6,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.71 : 11,157.09 = 4,152.16 : x
  2. Step 2: Convert to fraction form
    7,436.71/11,157.09 = 4,152.16/x
  3. Step 3: Cross multiply
    7,436.71x = 11,157.09 × 4,152.16
  4. Step 4: Simplify right side
    7,436.71x = 46,326,022.81
  5. Step 5: Solve for x
    x = 46,326,022.81/7,436.71
  6. Step 6: Final answer
    x = 6,229.37

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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.