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Finding the Fourth Proportional to 8,563.59, 11,813.43 and 5,731.08

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Solution

The fourth proportional to 8,563.59, 11,813.43 and 5,731.08 is: 7,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.59 : 11,813.43 = 5,731.08 : x
  2. Step 2: Convert to fraction form
    8,563.59/11,813.43 = 5,731.08/x
  3. Step 3: Cross multiply
    8,563.59x = 11,813.43 × 5,731.08
  4. Step 4: Simplify right side
    8,563.59x = 67,703,712.40
  5. Step 5: Solve for x
    x = 67,703,712.40/8,563.59
  6. Step 6: Final answer
    x = 7,906.00

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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.