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Finding the Fourth Proportional to 10,199.76, 15,274.26 and 6,491.04

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Solution

The fourth proportional to 10,199.76, 15,274.26 and 6,491.04 is: 9,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.76 : 15,274.26 = 6,491.04 : x
  2. Step 2: Convert to fraction form
    10,199.76/15,274.26 = 6,491.04/x
  3. Step 3: Cross multiply
    10,199.76x = 15,274.26 × 6,491.04
  4. Step 4: Simplify right side
    10,199.76x = 99,145,832.63
  5. Step 5: Solve for x
    x = 99,145,832.63/10,199.76
  6. Step 6: Final answer
    x = 9,720.41

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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.