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Finding the Fourth Proportional to 11,810.34, 16,297.47 and 6,505.38

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Solution

The fourth proportional to 11,810.34, 16,297.47 and 6,505.38 is: 8,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.34 : 16,297.47 = 6,505.38 : x
  2. Step 2: Convert to fraction form
    11,810.34/16,297.47 = 6,505.38/x
  3. Step 3: Cross multiply
    11,810.34x = 16,297.47 × 6,505.38
  4. Step 4: Simplify right side
    11,810.34x = 106,021,235.39
  5. Step 5: Solve for x
    x = 106,021,235.39/11,810.34
  6. Step 6: Final answer
    x = 8,976.98

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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.