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Finding the Fourth Proportional to 10,534.34, 15,803.04 and 3,961.46

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Solution

The fourth proportional to 10,534.34, 15,803.04 and 3,961.46 is: 5,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.34 : 15,803.04 = 3,961.46 : x
  2. Step 2: Convert to fraction form
    10,534.34/15,803.04 = 3,961.46/x
  3. Step 3: Cross multiply
    10,534.34x = 15,803.04 × 3,961.46
  4. Step 4: Simplify right side
    10,534.34x = 62,603,110.84
  5. Step 5: Solve for x
    x = 62,603,110.84/10,534.34
  6. Step 6: Final answer
    x = 5,942.77

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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.