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Finding the Fourth Proportional to 10,461.77, 15,685.13 and 4,912.03

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Solution

The fourth proportional to 10,461.77, 15,685.13 and 4,912.03 is: 7,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.77 : 15,685.13 = 4,912.03 : x
  2. Step 2: Convert to fraction form
    10,461.77/15,685.13 = 4,912.03/x
  3. Step 3: Cross multiply
    10,461.77x = 15,685.13 × 4,912.03
  4. Step 4: Simplify right side
    10,461.77x = 77,045,745.14
  5. Step 5: Solve for x
    x = 77,045,745.14/10,461.77
  6. Step 6: Final answer
    x = 7,364.51

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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.