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Finding the Fourth Proportional to 7,681.75, 11,524.14 and 2,750.06

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Solution

The fourth proportional to 7,681.75, 11,524.14 and 2,750.06 is: 4,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.75 : 11,524.14 = 2,750.06 : x
  2. Step 2: Convert to fraction form
    7,681.75/11,524.14 = 2,750.06/x
  3. Step 3: Cross multiply
    7,681.75x = 11,524.14 × 2,750.06
  4. Step 4: Simplify right side
    7,681.75x = 31,692,105.26
  5. Step 5: Solve for x
    x = 31,692,105.26/7,681.75
  6. Step 6: Final answer
    x = 4,125.64

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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.