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Finding the Fourth Proportional to 8,077.94, 12,104.54 and 5,435.65

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Solution

The fourth proportional to 8,077.94, 12,104.54 and 5,435.65 is: 8,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.94 : 12,104.54 = 5,435.65 : x
  2. Step 2: Convert to fraction form
    8,077.94/12,104.54 = 5,435.65/x
  3. Step 3: Cross multiply
    8,077.94x = 12,104.54 × 5,435.65
  4. Step 4: Simplify right side
    8,077.94x = 65,796,051.19
  5. Step 5: Solve for x
    x = 65,796,051.19/8,077.94
  6. Step 6: Final answer
    x = 8,145.15

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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.