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Finding the Fourth Proportional to 11,602.53, 17,405.01 and 3,812.76

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Solution

The fourth proportional to 11,602.53, 17,405.01 and 3,812.76 is: 5,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.53 : 17,405.01 = 3,812.76 : x
  2. Step 2: Convert to fraction form
    11,602.53/17,405.01 = 3,812.76/x
  3. Step 3: Cross multiply
    11,602.53x = 17,405.01 × 3,812.76
  4. Step 4: Simplify right side
    11,602.53x = 66,361,125.93
  5. Step 5: Solve for x
    x = 66,361,125.93/11,602.53
  6. Step 6: Final answer
    x = 5,719.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.