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Finding the Fourth Proportional to 7,185.86, 10,778.72 and 2,505.86

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Solution

The fourth proportional to 7,185.86, 10,778.72 and 2,505.86 is: 3,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.86 : 10,778.72 = 2,505.86 : x
  2. Step 2: Convert to fraction form
    7,185.86/10,778.72 = 2,505.86/x
  3. Step 3: Cross multiply
    7,185.86x = 10,778.72 × 2,505.86
  4. Step 4: Simplify right side
    7,185.86x = 27,009,963.30
  5. Step 5: Solve for x
    x = 27,009,963.30/7,185.86
  6. Step 6: Final answer
    x = 3,758.77

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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.