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Finding the Fourth Proportional to 10,752.32, 16,123.30 and 8,406.38

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Solution

The fourth proportional to 10,752.32, 16,123.30 and 8,406.38 is: 12,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.32 : 16,123.30 = 8,406.38 : x
  2. Step 2: Convert to fraction form
    10,752.32/16,123.30 = 8,406.38/x
  3. Step 3: Cross multiply
    10,752.32x = 16,123.30 × 8,406.38
  4. Step 4: Simplify right side
    10,752.32x = 135,538,586.65
  5. Step 5: Solve for x
    x = 135,538,586.65/10,752.32
  6. Step 6: Final answer
    x = 12,605.52

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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.