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Finding the Fourth Proportional to 7,138.66, 10,705.64 and 2,458.56

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Solution

The fourth proportional to 7,138.66, 10,705.64 and 2,458.56 is: 3,687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.66 : 10,705.64 = 2,458.56 : x
  2. Step 2: Convert to fraction form
    7,138.66/10,705.64 = 2,458.56/x
  3. Step 3: Cross multiply
    7,138.66x = 10,705.64 × 2,458.56
  4. Step 4: Simplify right side
    7,138.66x = 26,320,458.28
  5. Step 5: Solve for x
    x = 26,320,458.28/7,138.66
  6. Step 6: Final answer
    x = 3,687.03

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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.