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Finding the Fourth Proportional to 8,454.85, 11,666.33 and 5,308.81

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Solution

The fourth proportional to 8,454.85, 11,666.33 and 5,308.81 is: 7,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.85 : 11,666.33 = 5,308.81 : x
  2. Step 2: Convert to fraction form
    8,454.85/11,666.33 = 5,308.81/x
  3. Step 3: Cross multiply
    8,454.85x = 11,666.33 × 5,308.81
  4. Step 4: Simplify right side
    8,454.85x = 61,934,293.57
  5. Step 5: Solve for x
    x = 61,934,293.57/8,454.85
  6. Step 6: Final answer
    x = 7,325.30

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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.