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Finding the Fourth Proportional to 10,748.04, 16,121.64 and 2,956.64

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Solution

The fourth proportional to 10,748.04, 16,121.64 and 2,956.64 is: 4,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748.04 : 16,121.64 = 2,956.64 : x
  2. Step 2: Convert to fraction form
    10,748.04/16,121.64 = 2,956.64/x
  3. Step 3: Cross multiply
    10,748.04x = 16,121.64 × 2,956.64
  4. Step 4: Simplify right side
    10,748.04x = 47,665,885.69
  5. Step 5: Solve for x
    x = 47,665,885.69/10,748.04
  6. Step 6: Final answer
    x = 4,434.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.