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Finding the Fourth Proportional to 7,853.15, 11,776.62 and 3,467.53

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Solution

The fourth proportional to 7,853.15, 11,776.62 and 3,467.53 is: 5,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.15 : 11,776.62 = 3,467.53 : x
  2. Step 2: Convert to fraction form
    7,853.15/11,776.62 = 3,467.53/x
  3. Step 3: Cross multiply
    7,853.15x = 11,776.62 × 3,467.53
  4. Step 4: Simplify right side
    7,853.15x = 40,835,814.74
  5. Step 5: Solve for x
    x = 40,835,814.74/7,853.15
  6. Step 6: Final answer
    x = 5,199.93

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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.