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Finding the Fourth Proportional to 10,423.46, 15,633.28 and 2,824.89

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Solution

The fourth proportional to 10,423.46, 15,633.28 and 2,824.89 is: 4,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.46 : 15,633.28 = 2,824.89 : x
  2. Step 2: Convert to fraction form
    10,423.46/15,633.28 = 2,824.89/x
  3. Step 3: Cross multiply
    10,423.46x = 15,633.28 × 2,824.89
  4. Step 4: Simplify right side
    10,423.46x = 44,162,296.34
  5. Step 5: Solve for x
    x = 44,162,296.34/10,423.46
  6. Step 6: Final answer
    x = 4,236.82

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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.