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Finding the Fourth Proportional to 7,427.81, 11,185.81 and 6,465.53

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Solution

The fourth proportional to 7,427.81, 11,185.81 and 6,465.53 is: 9,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.81 : 11,185.81 = 6,465.53 : x
  2. Step 2: Convert to fraction form
    7,427.81/11,185.81 = 6,465.53/x
  3. Step 3: Cross multiply
    7,427.81x = 11,185.81 × 6,465.53
  4. Step 4: Simplify right side
    7,427.81x = 72,322,190.13
  5. Step 5: Solve for x
    x = 72,322,190.13/7,427.81
  6. Step 6: Final answer
    x = 9,736.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.