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Finding the Fourth Proportional to 8,259.65, 12,385.44 and 5,762.04

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Solution

The fourth proportional to 8,259.65, 12,385.44 and 5,762.04 is: 8,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.65 : 12,385.44 = 5,762.04 : x
  2. Step 2: Convert to fraction form
    8,259.65/12,385.44 = 5,762.04/x
  3. Step 3: Cross multiply
    8,259.65x = 12,385.44 × 5,762.04
  4. Step 4: Simplify right side
    8,259.65x = 71,365,354.25
  5. Step 5: Solve for x
    x = 71,365,354.25/8,259.65
  6. Step 6: Final answer
    x = 8,640.24

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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.