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Finding the Fourth Proportional to 7,349.66, 11,026.14 and 2,419.10

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Solution

The fourth proportional to 7,349.66, 11,026.14 and 2,419.10 is: 3,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.66 : 11,026.14 = 2,419.10 : x
  2. Step 2: Convert to fraction form
    7,349.66/11,026.14 = 2,419.10/x
  3. Step 3: Cross multiply
    7,349.66x = 11,026.14 × 2,419.10
  4. Step 4: Simplify right side
    7,349.66x = 26,673,335.27
  5. Step 5: Solve for x
    x = 26,673,335.27/7,349.66
  6. Step 6: Final answer
    x = 3,629.19

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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.