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Finding the Fourth Proportional to 8,312.46, 11,471.22 and 4,535.64

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Solution

The fourth proportional to 8,312.46, 11,471.22 and 4,535.64 is: 6,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.46 : 11,471.22 = 4,535.64 : x
  2. Step 2: Convert to fraction form
    8,312.46/11,471.22 = 4,535.64/x
  3. Step 3: Cross multiply
    8,312.46x = 11,471.22 × 4,535.64
  4. Step 4: Simplify right side
    8,312.46x = 52,029,324.28
  5. Step 5: Solve for x
    x = 52,029,324.28/8,312.46
  6. Step 6: Final answer
    x = 6,259.20

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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.