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Finding the Fourth Proportional to 7,617.42, 11,423.46 and 5,167.17

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Solution

The fourth proportional to 7,617.42, 11,423.46 and 5,167.17 is: 7,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.42 : 11,423.46 = 5,167.17 : x
  2. Step 2: Convert to fraction form
    7,617.42/11,423.46 = 5,167.17/x
  3. Step 3: Cross multiply
    7,617.42x = 11,423.46 × 5,167.17
  4. Step 4: Simplify right side
    7,617.42x = 59,026,959.81
  5. Step 5: Solve for x
    x = 59,026,959.81/7,617.42
  6. Step 6: Final answer
    x = 7,748.94

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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.