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Finding the Fourth Proportional to 11,892.19, 16,409.88 and 6,585.67

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Solution

The fourth proportional to 11,892.19, 16,409.88 and 6,585.67 is: 9,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.19 : 16,409.88 = 6,585.67 : x
  2. Step 2: Convert to fraction form
    11,892.19/16,409.88 = 6,585.67/x
  3. Step 3: Cross multiply
    11,892.19x = 16,409.88 × 6,585.67
  4. Step 4: Simplify right side
    11,892.19x = 108,070,054.42
  5. Step 5: Solve for x
    x = 108,070,054.42/11,892.19
  6. Step 6: Final answer
    x = 9,087.48

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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.