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Finding the Fourth Proportional to 11,286.29, 16,848.64 and 9,810.47

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Solution

The fourth proportional to 11,286.29, 16,848.64 and 9,810.47 is: 14,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.29 : 16,848.64 = 9,810.47 : x
  2. Step 2: Convert to fraction form
    11,286.29/16,848.64 = 9,810.47/x
  3. Step 3: Cross multiply
    11,286.29x = 16,848.64 × 9,810.47
  4. Step 4: Simplify right side
    11,286.29x = 165,293,077.26
  5. Step 5: Solve for x
    x = 165,293,077.26/11,286.29
  6. Step 6: Final answer
    x = 14,645.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.