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Finding the Fourth Proportional to 8,312.70, 11,471.66 and 4,535.86

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Solution

The fourth proportional to 8,312.70, 11,471.66 and 4,535.86 is: 6,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.70 : 11,471.66 = 4,535.86 : x
  2. Step 2: Convert to fraction form
    8,312.70/11,471.66 = 4,535.86/x
  3. Step 3: Cross multiply
    8,312.70x = 11,471.66 × 4,535.86
  4. Step 4: Simplify right side
    8,312.70x = 52,033,843.73
  5. Step 5: Solve for x
    x = 52,033,843.73/8,312.70
  6. Step 6: Final answer
    x = 6,259.56

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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.