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Finding the Fourth Proportional to 10,516.63, 15,771.53 and 3,494.76

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Solution

The fourth proportional to 10,516.63, 15,771.53 and 3,494.76 is: 5,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.63 : 15,771.53 = 3,494.76 : x
  2. Step 2: Convert to fraction form
    10,516.63/15,771.53 = 3,494.76/x
  3. Step 3: Cross multiply
    10,516.63x = 15,771.53 × 3,494.76
  4. Step 4: Simplify right side
    10,516.63x = 55,117,720.92
  5. Step 5: Solve for x
    x = 55,117,720.92/10,516.63
  6. Step 6: Final answer
    x = 5,241.01

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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.