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Finding the Fourth Proportional to 11,661.48, 16,085.70 and 7,186.92

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Solution

The fourth proportional to 11,661.48, 16,085.70 and 7,186.92 is: 9,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.48 : 16,085.70 = 7,186.92 : x
  2. Step 2: Convert to fraction form
    11,661.48/16,085.70 = 7,186.92/x
  3. Step 3: Cross multiply
    11,661.48x = 16,085.70 × 7,186.92
  4. Step 4: Simplify right side
    11,661.48x = 115,606,639.04
  5. Step 5: Solve for x
    x = 115,606,639.04/11,661.48
  6. Step 6: Final answer
    x = 9,913.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.