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Finding the Fourth Proportional to 7,353.50, 11,031.61 and 2,974.03

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Solution

The fourth proportional to 7,353.50, 11,031.61 and 2,974.03 is: 4,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.50 : 11,031.61 = 2,974.03 : x
  2. Step 2: Convert to fraction form
    7,353.50/11,031.61 = 2,974.03/x
  3. Step 3: Cross multiply
    7,353.50x = 11,031.61 × 2,974.03
  4. Step 4: Simplify right side
    7,353.50x = 32,808,283.93
  5. Step 5: Solve for x
    x = 32,808,283.93/7,353.50
  6. Step 6: Final answer
    x = 4,461.59

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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.