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Finding the Fourth Proportional to 7,405.96, 10,216.74 and 5,281.96

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Solution

The fourth proportional to 7,405.96, 10,216.74 and 5,281.96 is: 7,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.96 : 10,216.74 = 5,281.96 : x
  2. Step 2: Convert to fraction form
    7,405.96/10,216.74 = 5,281.96/x
  3. Step 3: Cross multiply
    7,405.96x = 10,216.74 × 5,281.96
  4. Step 4: Simplify right side
    7,405.96x = 53,964,412.01
  5. Step 5: Solve for x
    x = 53,964,412.01/7,405.96
  6. Step 6: Final answer
    x = 7,286.62

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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.