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Finding the Fourth Proportional to 7,138.34, 10,708.74 and 2,458.82

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Solution

The fourth proportional to 7,138.34, 10,708.74 and 2,458.82 is: 3,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.34 : 10,708.74 = 2,458.82 : x
  2. Step 2: Convert to fraction form
    7,138.34/10,708.74 = 2,458.82/x
  3. Step 3: Cross multiply
    7,138.34x = 10,708.74 × 2,458.82
  4. Step 4: Simplify right side
    7,138.34x = 26,330,864.09
  5. Step 5: Solve for x
    x = 26,330,864.09/7,138.34
  6. Step 6: Final answer
    x = 3,688.65

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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.