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Finding the Fourth Proportional to 10,005.75, 13,808.75 and 5,814.81

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Solution

The fourth proportional to 10,005.75, 13,808.75 and 5,814.81 is: 8,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.75 : 13,808.75 = 5,814.81 : x
  2. Step 2: Convert to fraction form
    10,005.75/13,808.75 = 5,814.81/x
  3. Step 3: Cross multiply
    10,005.75x = 13,808.75 × 5,814.81
  4. Step 4: Simplify right side
    10,005.75x = 80,295,228.51
  5. Step 5: Solve for x
    x = 80,295,228.51/10,005.75
  6. Step 6: Final answer
    x = 8,024.91

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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.