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Finding the Fourth Proportional to 11,317, 15,617.94 and 6,349

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Solution

The fourth proportional to 11,317, 15,617.94 and 6,349 is: 8,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317 : 15,617.94 = 6,349 : x
  2. Step 2: Convert to fraction form
    11,317/15,617.94 = 6,349/x
  3. Step 3: Cross multiply
    11,317x = 15,617.94 × 6,349
  4. Step 4: Simplify right side
    11,317x = 99,158,301.06
  5. Step 5: Solve for x
    x = 99,158,301.06/11,317
  6. Step 6: Final answer
    x = 8,761.89

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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.