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Finding the Fourth Proportional to 8,312.75, 11,471.22 and 4,535.75

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Solution

The fourth proportional to 8,312.75, 11,471.22 and 4,535.75 is: 6,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.75 : 11,471.22 = 4,535.75 : x
  2. Step 2: Convert to fraction form
    8,312.75/11,471.22 = 4,535.75/x
  3. Step 3: Cross multiply
    8,312.75x = 11,471.22 × 4,535.75
  4. Step 4: Simplify right side
    8,312.75x = 52,030,586.12
  5. Step 5: Solve for x
    x = 52,030,586.12/8,312.75
  6. Step 6: Final answer
    x = 6,259.13

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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.