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Finding the Fourth Proportional to 7,342.51, 11,009.64 and 2,410.81

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Solution

The fourth proportional to 7,342.51, 11,009.64 and 2,410.81 is: 3,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.51 : 11,009.64 = 2,410.81 : x
  2. Step 2: Convert to fraction form
    7,342.51/11,009.64 = 2,410.81/x
  3. Step 3: Cross multiply
    7,342.51x = 11,009.64 × 2,410.81
  4. Step 4: Simplify right side
    7,342.51x = 26,542,150.21
  5. Step 5: Solve for x
    x = 26,542,150.21/7,342.51
  6. Step 6: Final answer
    x = 3,614.86

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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.