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Finding the Fourth Proportional to 7,699.14, 11,540.84 and 2,700.02

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Solution

The fourth proportional to 7,699.14, 11,540.84 and 2,700.02 is: 4,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.14 : 11,540.84 = 2,700.02 : x
  2. Step 2: Convert to fraction form
    7,699.14/11,540.84 = 2,700.02/x
  3. Step 3: Cross multiply
    7,699.14x = 11,540.84 × 2,700.02
  4. Step 4: Simplify right side
    7,699.14x = 31,160,498.82
  5. Step 5: Solve for x
    x = 31,160,498.82/7,699.14
  6. Step 6: Final answer
    x = 4,047.27

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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.