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Finding the Fourth Proportional to 7,453.80, 10,270.02 and 5,564.64

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Solution

The fourth proportional to 7,453.80, 10,270.02 and 5,564.64 is: 7,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.80 : 10,270.02 = 5,564.64 : x
  2. Step 2: Convert to fraction form
    7,453.80/10,270.02 = 5,564.64/x
  3. Step 3: Cross multiply
    7,453.80x = 10,270.02 × 5,564.64
  4. Step 4: Simplify right side
    7,453.80x = 57,148,964.09
  5. Step 5: Solve for x
    x = 57,148,964.09/7,453.80
  6. Step 6: Final answer
    x = 7,667.09

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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.