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Finding the Fourth Proportional to 8,363.64, 11,541 and 4,826.04

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Solution

The fourth proportional to 8,363.64, 11,541 and 4,826.04 is: 6,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.64 : 11,541 = 4,826.04 : x
  2. Step 2: Convert to fraction form
    8,363.64/11,541 = 4,826.04/x
  3. Step 3: Cross multiply
    8,363.64x = 11,541 × 4,826.04
  4. Step 4: Simplify right side
    8,363.64x = 55,697,327.64
  5. Step 5: Solve for x
    x = 55,697,327.64/8,363.64
  6. Step 6: Final answer
    x = 6,659.46

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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.