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Finding the Fourth Proportional to 10,726.56, 16,072.26 and 10,316.50

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Solution

The fourth proportional to 10,726.56, 16,072.26 and 10,316.50 is: 15,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.56 : 16,072.26 = 10,316.50 : x
  2. Step 2: Convert to fraction form
    10,726.56/16,072.26 = 10,316.50/x
  3. Step 3: Cross multiply
    10,726.56x = 16,072.26 × 10,316.50
  4. Step 4: Simplify right side
    10,726.56x = 165,809,470.29
  5. Step 5: Solve for x
    x = 165,809,470.29/10,726.56
  6. Step 6: Final answer
    x = 15,457.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.