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Finding the Fourth Proportional to 8,729.65, 12,016.49 and 7,608.64

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Solution

The fourth proportional to 8,729.65, 12,016.49 and 7,608.64 is: 10,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.65 : 12,016.49 = 7,608.64 : x
  2. Step 2: Convert to fraction form
    8,729.65/12,016.49 = 7,608.64/x
  3. Step 3: Cross multiply
    8,729.65x = 12,016.49 × 7,608.64
  4. Step 4: Simplify right side
    8,729.65x = 91,429,146.47
  5. Step 5: Solve for x
    x = 91,429,146.47/8,729.65
  6. Step 6: Final answer
    x = 10,473.40

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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.