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Finding the Fourth Proportional to 25,082.30, 37,629.98 and 7,312.56

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Solution

The fourth proportional to 25,082.30, 37,629.98 and 7,312.56 is: 10,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,082.30 : 37,629.98 = 7,312.56 : x
  2. Step 2: Convert to fraction form
    25,082.30/37,629.98 = 7,312.56/x
  3. Step 3: Cross multiply
    25,082.30x = 37,629.98 × 7,312.56
  4. Step 4: Simplify right side
    25,082.30x = 275,171,486.55
  5. Step 5: Solve for x
    x = 275,171,486.55/25,082.30
  6. Step 6: Final answer
    x = 10,970.74

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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.