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Finding the Fourth Proportional to 10,813.13, 14,922.12 and 5,845.13

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Solution

The fourth proportional to 10,813.13, 14,922.12 and 5,845.13 is: 8,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.13 : 14,922.12 = 5,845.13 : x
  2. Step 2: Convert to fraction form
    10,813.13/14,922.12 = 5,845.13/x
  3. Step 3: Cross multiply
    10,813.13x = 14,922.12 × 5,845.13
  4. Step 4: Simplify right side
    10,813.13x = 87,221,731.28
  5. Step 5: Solve for x
    x = 87,221,731.28/10,813.13
  6. Step 6: Final answer
    x = 8,066.28

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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.