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Finding the Fourth Proportional to 11,842.58, 16,341.14 and 6,537.39

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Solution

The fourth proportional to 11,842.58, 16,341.14 and 6,537.39 is: 9,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.58 : 16,341.14 = 6,537.39 : x
  2. Step 2: Convert to fraction form
    11,842.58/16,341.14 = 6,537.39/x
  3. Step 3: Cross multiply
    11,842.58x = 16,341.14 × 6,537.39
  4. Step 4: Simplify right side
    11,842.58x = 106,828,360.29
  5. Step 5: Solve for x
    x = 106,828,360.29/11,842.58
  6. Step 6: Final answer
    x = 9,020.70

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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.