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Finding the Fourth Proportional to 7,665.65, 11,497.09 and 2,117.81

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Solution

The fourth proportional to 7,665.65, 11,497.09 and 2,117.81 is: 3,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.65 : 11,497.09 = 2,117.81 : x
  2. Step 2: Convert to fraction form
    7,665.65/11,497.09 = 2,117.81/x
  3. Step 3: Cross multiply
    7,665.65x = 11,497.09 × 2,117.81
  4. Step 4: Simplify right side
    7,665.65x = 24,348,679.59
  5. Step 5: Solve for x
    x = 24,348,679.59/7,665.65
  6. Step 6: Final answer
    x = 3,176.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.