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Finding the Fourth Proportional to 10,723.34, 14,798.21 and 6,007.65

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Solution

The fourth proportional to 10,723.34, 14,798.21 and 6,007.65 is: 8,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.34 : 14,798.21 = 6,007.65 : x
  2. Step 2: Convert to fraction form
    10,723.34/14,798.21 = 6,007.65/x
  3. Step 3: Cross multiply
    10,723.34x = 14,798.21 × 6,007.65
  4. Step 4: Simplify right side
    10,723.34x = 88,902,436.27
  5. Step 5: Solve for x
    x = 88,902,436.27/10,723.34
  6. Step 6: Final answer
    x = 8,290.56

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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.