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Finding the Fourth Proportional to 7,729.48, 10,667.09 and 4,895.82

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Solution

The fourth proportional to 7,729.48, 10,667.09 and 4,895.82 is: 6,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.48 : 10,667.09 = 4,895.82 : x
  2. Step 2: Convert to fraction form
    7,729.48/10,667.09 = 4,895.82/x
  3. Step 3: Cross multiply
    7,729.48x = 10,667.09 × 4,895.82
  4. Step 4: Simplify right side
    7,729.48x = 52,224,099.23
  5. Step 5: Solve for x
    x = 52,224,099.23/7,729.48
  6. Step 6: Final answer
    x = 6,756.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.