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Finding the Fourth Proportional to 7,659.17, 11,491.64 and 5,217.02

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Solution

The fourth proportional to 7,659.17, 11,491.64 and 5,217.02 is: 7,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.17 : 11,491.64 = 5,217.02 : x
  2. Step 2: Convert to fraction form
    7,659.17/11,491.64 = 5,217.02/x
  3. Step 3: Cross multiply
    7,659.17x = 11,491.64 × 5,217.02
  4. Step 4: Simplify right side
    7,659.17x = 59,952,071.30
  5. Step 5: Solve for x
    x = 59,952,071.30/7,659.17
  6. Step 6: Final answer
    x = 7,827.49

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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.