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Finding the Fourth Proportional to 10,214.76, 14,096.74 and 5,738.60

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Solution

The fourth proportional to 10,214.76, 14,096.74 and 5,738.60 is: 7,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.76 : 14,096.74 = 5,738.60 : x
  2. Step 2: Convert to fraction form
    10,214.76/14,096.74 = 5,738.60/x
  3. Step 3: Cross multiply
    10,214.76x = 14,096.74 × 5,738.60
  4. Step 4: Simplify right side
    10,214.76x = 80,895,552.16
  5. Step 5: Solve for x
    x = 80,895,552.16/10,214.76
  6. Step 6: Final answer
    x = 7,919.48

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