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Finding the Fourth Proportional to 7,453.34, 10,289.67 and 5,222.06

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Solution

The fourth proportional to 7,453.34, 10,289.67 and 5,222.06 is: 7,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.34 : 10,289.67 = 5,222.06 : x
  2. Step 2: Convert to fraction form
    7,453.34/10,289.67 = 5,222.06/x
  3. Step 3: Cross multiply
    7,453.34x = 10,289.67 × 5,222.06
  4. Step 4: Simplify right side
    7,453.34x = 53,733,274.12
  5. Step 5: Solve for x
    x = 53,733,274.12/7,453.34
  6. Step 6: Final answer
    x = 7,209.29

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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.