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Finding the Fourth Proportional to 10,297.55, 15,447.23 and 2,902.08

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Solution

The fourth proportional to 10,297.55, 15,447.23 and 2,902.08 is: 4,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.55 : 15,447.23 = 2,902.08 : x
  2. Step 2: Convert to fraction form
    10,297.55/15,447.23 = 2,902.08/x
  3. Step 3: Cross multiply
    10,297.55x = 15,447.23 × 2,902.08
  4. Step 4: Simplify right side
    10,297.55x = 44,829,082.73
  5. Step 5: Solve for x
    x = 44,829,082.73/10,297.55
  6. Step 6: Final answer
    x = 4,353.38

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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.