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Finding the Fourth Proportional to 10,185.81, 14,056.14 and 5,709.85

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Solution

The fourth proportional to 10,185.81, 14,056.14 and 5,709.85 is: 7,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.81 : 14,056.14 = 5,709.85 : x
  2. Step 2: Convert to fraction form
    10,185.81/14,056.14 = 5,709.85/x
  3. Step 3: Cross multiply
    10,185.81x = 14,056.14 × 5,709.85
  4. Step 4: Simplify right side
    10,185.81x = 80,258,437.25
  5. Step 5: Solve for x
    x = 80,258,437.25/10,185.81
  6. Step 6: Final answer
    x = 7,879.44

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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.