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Finding the Fourth Proportional to 11,641.79, 16,065.38 and 6,537.17

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Solution

The fourth proportional to 11,641.79, 16,065.38 and 6,537.17 is: 9,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.79 : 16,065.38 = 6,537.17 : x
  2. Step 2: Convert to fraction form
    11,641.79/16,065.38 = 6,537.17/x
  3. Step 3: Cross multiply
    11,641.79x = 16,065.38 × 6,537.17
  4. Step 4: Simplify right side
    11,641.79x = 105,022,007.16
  5. Step 5: Solve for x
    x = 105,022,007.16/11,641.79
  6. Step 6: Final answer
    x = 9,021.13

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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.