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Finding the Fourth Proportional to 11,886.65, 16,403.75 and 6,581.45

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Solution

The fourth proportional to 11,886.65, 16,403.75 and 6,581.45 is: 9,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.65 : 16,403.75 = 6,581.45 : x
  2. Step 2: Convert to fraction form
    11,886.65/16,403.75 = 6,581.45/x
  3. Step 3: Cross multiply
    11,886.65x = 16,403.75 × 6,581.45
  4. Step 4: Simplify right side
    11,886.65x = 107,960,493.22
  5. Step 5: Solve for x
    x = 107,960,493.22/11,886.65
  6. Step 6: Final answer
    x = 9,082.50

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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.