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Finding the Fourth Proportional to 10,675.76, 14,732.52 and 5,960.04

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Solution

The fourth proportional to 10,675.76, 14,732.52 and 5,960.04 is: 8,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.76 : 14,732.52 = 5,960.04 : x
  2. Step 2: Convert to fraction form
    10,675.76/14,732.52 = 5,960.04/x
  3. Step 3: Cross multiply
    10,675.76x = 14,732.52 × 5,960.04
  4. Step 4: Simplify right side
    10,675.76x = 87,806,408.50
  5. Step 5: Solve for x
    x = 87,806,408.50/10,675.76
  6. Step 6: Final answer
    x = 8,224.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.