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Finding the Fourth Proportional to 7,364.61, 11,040.17 and 3,202.02

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Solution

The fourth proportional to 7,364.61, 11,040.17 and 3,202.02 is: 4,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.61 : 11,040.17 = 3,202.02 : x
  2. Step 2: Convert to fraction form
    7,364.61/11,040.17 = 3,202.02/x
  3. Step 3: Cross multiply
    7,364.61x = 11,040.17 × 3,202.02
  4. Step 4: Simplify right side
    7,364.61x = 35,350,829.13
  5. Step 5: Solve for x
    x = 35,350,829.13/7,364.61
  6. Step 6: Final answer
    x = 4,800.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.