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Finding the Fourth Proportional to 10,070.81, 13,896.17 and 5,821.05

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Solution

The fourth proportional to 10,070.81, 13,896.17 and 5,821.05 is: 8,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.81 : 13,896.17 = 5,821.05 : x
  2. Step 2: Convert to fraction form
    10,070.81/13,896.17 = 5,821.05/x
  3. Step 3: Cross multiply
    10,070.81x = 13,896.17 × 5,821.05
  4. Step 4: Simplify right side
    10,070.81x = 80,890,314.93
  5. Step 5: Solve for x
    x = 80,890,314.93/10,070.81
  6. Step 6: Final answer
    x = 8,032.16

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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.