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Finding the Fourth Proportional to 7,986.98, 11,007.68 and 6,499.82

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Solution

The fourth proportional to 7,986.98, 11,007.68 and 6,499.82 is: 8,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.98 : 11,007.68 = 6,499.82 : x
  2. Step 2: Convert to fraction form
    7,986.98/11,007.68 = 6,499.82/x
  3. Step 3: Cross multiply
    7,986.98x = 11,007.68 × 6,499.82
  4. Step 4: Simplify right side
    7,986.98x = 71,547,938.62
  5. Step 5: Solve for x
    x = 71,547,938.62/7,986.98
  6. Step 6: Final answer
    x = 8,958.07

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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.