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Finding the Fourth Proportional to 7,201.23, 10,798.16 and 3,302.25

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Solution

The fourth proportional to 7,201.23, 10,798.16 and 3,302.25 is: 4,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.23 : 10,798.16 = 3,302.25 : x
  2. Step 2: Convert to fraction form
    7,201.23/10,798.16 = 3,302.25/x
  3. Step 3: Cross multiply
    7,201.23x = 10,798.16 × 3,302.25
  4. Step 4: Simplify right side
    7,201.23x = 35,658,207.35
  5. Step 5: Solve for x
    x = 35,658,207.35/7,201.23
  6. Step 6: Final answer
    x = 4,951.68

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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.