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Finding the Fourth Proportional to 8,234.60, 12,365.10 and 7,628.20

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Solution

The fourth proportional to 8,234.60, 12,365.10 and 7,628.20 is: 11,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.60 : 12,365.10 = 7,628.20 : x
  2. Step 2: Convert to fraction form
    8,234.60/12,365.10 = 7,628.20/x
  3. Step 3: Cross multiply
    8,234.60x = 12,365.10 × 7,628.20
  4. Step 4: Simplify right side
    8,234.60x = 94,323,455.82
  5. Step 5: Solve for x
    x = 94,323,455.82/8,234.60
  6. Step 6: Final answer
    x = 11,454.53

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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.