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Finding the Fourth Proportional to 10,102.95, 15,154.92 and 3,082.41

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Solution

The fourth proportional to 10,102.95, 15,154.92 and 3,082.41 is: 4,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.95 : 15,154.92 = 3,082.41 : x
  2. Step 2: Convert to fraction form
    10,102.95/15,154.92 = 3,082.41/x
  3. Step 3: Cross multiply
    10,102.95x = 15,154.92 × 3,082.41
  4. Step 4: Simplify right side
    10,102.95x = 46,713,676.96
  5. Step 5: Solve for x
    x = 46,713,676.96/10,102.95
  6. Step 6: Final answer
    x = 4,623.77

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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.