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Finding the Fourth Proportional to 11,835.66, 16,333.74 and 6,801.51

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Solution

The fourth proportional to 11,835.66, 16,333.74 and 6,801.51 is: 9,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.66 : 16,333.74 = 6,801.51 : x
  2. Step 2: Convert to fraction form
    11,835.66/16,333.74 = 6,801.51/x
  3. Step 3: Cross multiply
    11,835.66x = 16,333.74 × 6,801.51
  4. Step 4: Simplify right side
    11,835.66x = 111,094,095.95
  5. Step 5: Solve for x
    x = 111,094,095.95/11,835.66
  6. Step 6: Final answer
    x = 9,386.39

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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.