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Finding the Fourth Proportional to 10,544.32, 15,814.26 and 6,784.84

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Solution

The fourth proportional to 10,544.32, 15,814.26 and 6,784.84 is: 10,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.32 : 15,814.26 = 6,784.84 : x
  2. Step 2: Convert to fraction form
    10,544.32/15,814.26 = 6,784.84/x
  3. Step 3: Cross multiply
    10,544.32x = 15,814.26 × 6,784.84
  4. Step 4: Simplify right side
    10,544.32x = 107,297,223.82
  5. Step 5: Solve for x
    x = 107,297,223.82/10,544.32
  6. Step 6: Final answer
    x = 10,175.83

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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.