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Finding the Fourth Proportional to 11,748.53, 16,213.29 and 6,713.57

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Solution

The fourth proportional to 11,748.53, 16,213.29 and 6,713.57 is: 9,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.53 : 16,213.29 = 6,713.57 : x
  2. Step 2: Convert to fraction form
    11,748.53/16,213.29 = 6,713.57/x
  3. Step 3: Cross multiply
    11,748.53x = 16,213.29 × 6,713.57
  4. Step 4: Simplify right side
    11,748.53x = 108,849,000.38
  5. Step 5: Solve for x
    x = 108,849,000.38/11,748.53
  6. Step 6: Final answer
    x = 9,264.91

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Why These Related Problems?

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