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Finding the Fourth Proportional to 8,312.73, 11,471.84 and 4,536.10

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Solution

The fourth proportional to 8,312.73, 11,471.84 and 4,536.10 is: 6,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.73 : 11,471.84 = 4,536.10 : x
  2. Step 2: Convert to fraction form
    8,312.73/11,471.84 = 4,536.10/x
  3. Step 3: Cross multiply
    8,312.73x = 11,471.84 × 4,536.10
  4. Step 4: Simplify right side
    8,312.73x = 52,037,455.62
  5. Step 5: Solve for x
    x = 52,037,455.62/8,312.73
  6. Step 6: Final answer
    x = 6,259.97

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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.