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Finding the Fourth Proportional to 11,890.98, 16,409.56 and 6,585.68

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Solution

The fourth proportional to 11,890.98, 16,409.56 and 6,585.68 is: 9,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.98 : 16,409.56 = 6,585.68 : x
  2. Step 2: Convert to fraction form
    11,890.98/16,409.56 = 6,585.68/x
  3. Step 3: Cross multiply
    11,890.98x = 16,409.56 × 6,585.68
  4. Step 4: Simplify right side
    11,890.98x = 108,068,120.38
  5. Step 5: Solve for x
    x = 108,068,120.38/11,890.98
  6. Step 6: Final answer
    x = 9,088.25

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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.