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Finding the Fourth Proportional to 11,376.19, 15,697.06 and 6,340.29

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Solution

The fourth proportional to 11,376.19, 15,697.06 and 6,340.29 is: 8,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.19 : 15,697.06 = 6,340.29 : x
  2. Step 2: Convert to fraction form
    11,376.19/15,697.06 = 6,340.29/x
  3. Step 3: Cross multiply
    11,376.19x = 15,697.06 × 6,340.29
  4. Step 4: Simplify right side
    11,376.19x = 99,523,912.55
  5. Step 5: Solve for x
    x = 99,523,912.55/11,376.19
  6. Step 6: Final answer
    x = 8,748.44

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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.