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Finding the Fourth Proportional to 7,405.60, 10,213.68 and 5,310.88

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Solution

The fourth proportional to 7,405.60, 10,213.68 and 5,310.88 is: 7,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.60 : 10,213.68 = 5,310.88 : x
  2. Step 2: Convert to fraction form
    7,405.60/10,213.68 = 5,310.88/x
  3. Step 3: Cross multiply
    7,405.60x = 10,213.68 × 5,310.88
  4. Step 4: Simplify right side
    7,405.60x = 54,243,628.84
  5. Step 5: Solve for x
    x = 54,243,628.84/7,405.60
  6. Step 6: Final answer
    x = 7,324.68

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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.