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Finding the Fourth Proportional to 11,602.50, 17,406.72 and 3,811.38

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Solution

The fourth proportional to 11,602.50, 17,406.72 and 3,811.38 is: 5,718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.50 : 17,406.72 = 3,811.38 : x
  2. Step 2: Convert to fraction form
    11,602.50/17,406.72 = 3,811.38/x
  3. Step 3: Cross multiply
    11,602.50x = 17,406.72 × 3,811.38
  4. Step 4: Simplify right side
    11,602.50x = 66,343,624.47
  5. Step 5: Solve for x
    x = 66,343,624.47/11,602.50
  6. Step 6: Final answer
    x = 5,718.05

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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.