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Finding the Fourth Proportional to 10,731.98, 14,777.70 and 9,519.68

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Solution

The fourth proportional to 10,731.98, 14,777.70 and 9,519.68 is: 13,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.98 : 14,777.70 = 9,519.68 : x
  2. Step 2: Convert to fraction form
    10,731.98/14,777.70 = 9,519.68/x
  3. Step 3: Cross multiply
    10,731.98x = 14,777.70 × 9,519.68
  4. Step 4: Simplify right side
    10,731.98x = 140,678,975.14
  5. Step 5: Solve for x
    x = 140,678,975.14/10,731.98
  6. Step 6: Final answer
    x = 13,108.39

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Why These Related Problems?

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