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Finding the Fourth Proportional to 10,232.46, 14,122.73 and 6,405.88

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Solution

The fourth proportional to 10,232.46, 14,122.73 and 6,405.88 is: 8,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.46 : 14,122.73 = 6,405.88 : x
  2. Step 2: Convert to fraction form
    10,232.46/14,122.73 = 6,405.88/x
  3. Step 3: Cross multiply
    10,232.46x = 14,122.73 × 6,405.88
  4. Step 4: Simplify right side
    10,232.46x = 90,468,513.65
  5. Step 5: Solve for x
    x = 90,468,513.65/10,232.46
  6. Step 6: Final answer
    x = 8,841.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.