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Finding the Fourth Proportional to 7,741.68, 11,602.26 and 4,047

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Solution

The fourth proportional to 7,741.68, 11,602.26 and 4,047 is: 6,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.68 : 11,602.26 = 4,047 : x
  2. Step 2: Convert to fraction form
    7,741.68/11,602.26 = 4,047/x
  3. Step 3: Cross multiply
    7,741.68x = 11,602.26 × 4,047
  4. Step 4: Simplify right side
    7,741.68x = 46,954,346.22
  5. Step 5: Solve for x
    x = 46,954,346.22/7,741.68
  6. Step 6: Final answer
    x = 6,065.14

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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.