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Finding the Fourth Proportional to 8,234.82, 12,352.20 and 4,535.10

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Solution

The fourth proportional to 8,234.82, 12,352.20 and 4,535.10 is: 6,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.82 : 12,352.20 = 4,535.10 : x
  2. Step 2: Convert to fraction form
    8,234.82/12,352.20 = 4,535.10/x
  3. Step 3: Cross multiply
    8,234.82x = 12,352.20 × 4,535.10
  4. Step 4: Simplify right side
    8,234.82x = 56,018,462.22
  5. Step 5: Solve for x
    x = 56,018,462.22/8,234.82
  6. Step 6: Final answer
    x = 6,802.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.