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Finding the Fourth Proportional to 7,540.14, 11,311.86 and 2,346

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Solution

The fourth proportional to 7,540.14, 11,311.86 and 2,346 is: 3,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.14 : 11,311.86 = 2,346 : x
  2. Step 2: Convert to fraction form
    7,540.14/11,311.86 = 2,346/x
  3. Step 3: Cross multiply
    7,540.14x = 11,311.86 × 2,346
  4. Step 4: Simplify right side
    7,540.14x = 26,537,623.56
  5. Step 5: Solve for x
    x = 26,537,623.56/7,540.14
  6. Step 6: Final answer
    x = 3,519.51

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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.