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Finding the Fourth Proportional to 11,833.98, 16,330.16 and 6,528.84

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Solution

The fourth proportional to 11,833.98, 16,330.16 and 6,528.84 is: 9,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.98 : 16,330.16 = 6,528.84 : x
  2. Step 2: Convert to fraction form
    11,833.98/16,330.16 = 6,528.84/x
  3. Step 3: Cross multiply
    11,833.98x = 16,330.16 × 6,528.84
  4. Step 4: Simplify right side
    11,833.98x = 106,616,920.17
  5. Step 5: Solve for x
    x = 106,616,920.17/11,833.98
  6. Step 6: Final answer
    x = 9,009.39

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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.