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Finding the Fourth Proportional to 8,259.95, 12,385.87 and 5,762.34

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Solution

The fourth proportional to 8,259.95, 12,385.87 and 5,762.34 is: 8,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.95 : 12,385.87 = 5,762.34 : x
  2. Step 2: Convert to fraction form
    8,259.95/12,385.87 = 5,762.34/x
  3. Step 3: Cross multiply
    8,259.95x = 12,385.87 × 5,762.34
  4. Step 4: Simplify right side
    8,259.95x = 71,371,579.73
  5. Step 5: Solve for x
    x = 71,371,579.73/8,259.95
  6. Step 6: Final answer
    x = 8,640.68

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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.