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Finding the Fourth Proportional to 10,723.29, 16,011.60 and 9,605.49

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Solution

The fourth proportional to 10,723.29, 16,011.60 and 9,605.49 is: 14,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.29 : 16,011.60 = 9,605.49 : x
  2. Step 2: Convert to fraction form
    10,723.29/16,011.60 = 9,605.49/x
  3. Step 3: Cross multiply
    10,723.29x = 16,011.60 × 9,605.49
  4. Step 4: Simplify right side
    10,723.29x = 153,799,263.68
  5. Step 5: Solve for x
    x = 153,799,263.68/10,723.29
  6. Step 6: Final answer
    x = 14,342.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.