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Finding the Fourth Proportional to 8,294.68, 11,445.81 and 5,107.47

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Solution

The fourth proportional to 8,294.68, 11,445.81 and 5,107.47 is: 7,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.68 : 11,445.81 = 5,107.47 : x
  2. Step 2: Convert to fraction form
    8,294.68/11,445.81 = 5,107.47/x
  3. Step 3: Cross multiply
    8,294.68x = 11,445.81 × 5,107.47
  4. Step 4: Simplify right side
    8,294.68x = 58,459,048.43
  5. Step 5: Solve for x
    x = 58,459,048.43/8,294.68
  6. Step 6: Final answer
    x = 7,047.78

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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.