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Finding the Fourth Proportional to 8,145.96, 12,168.40 and 5,907.02

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Solution

The fourth proportional to 8,145.96, 12,168.40 and 5,907.02 is: 8,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.96 : 12,168.40 = 5,907.02 : x
  2. Step 2: Convert to fraction form
    8,145.96/12,168.40 = 5,907.02/x
  3. Step 3: Cross multiply
    8,145.96x = 12,168.40 × 5,907.02
  4. Step 4: Simplify right side
    8,145.96x = 71,879,027.36
  5. Step 5: Solve for x
    x = 71,879,027.36/8,145.96
  6. Step 6: Final answer
    x = 8,823.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.