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Finding the Fourth Proportional to 11,803, 16,288.92 and 6,835

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Solution

The fourth proportional to 11,803, 16,288.92 and 6,835 is: 9,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803 : 16,288.92 = 6,835 : x
  2. Step 2: Convert to fraction form
    11,803/16,288.92 = 6,835/x
  3. Step 3: Cross multiply
    11,803x = 16,288.92 × 6,835
  4. Step 4: Simplify right side
    11,803x = 111,334,768.20
  5. Step 5: Solve for x
    x = 111,334,768.20/11,803
  6. Step 6: Final answer
    x = 9,432.75

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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.