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Finding the Fourth Proportional to 8,410.32, 12,596.04 and 8,118.72

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Solution

The fourth proportional to 8,410.32, 12,596.04 and 8,118.72 is: 12,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.32 : 12,596.04 = 8,118.72 : x
  2. Step 2: Convert to fraction form
    8,410.32/12,596.04 = 8,118.72/x
  3. Step 3: Cross multiply
    8,410.32x = 12,596.04 × 8,118.72
  4. Step 4: Simplify right side
    8,410.32x = 102,263,721.87
  5. Step 5: Solve for x
    x = 102,263,721.87/8,410.32
  6. Step 6: Final answer
    x = 12,159.31

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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.