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Finding the Fourth Proportional to 11,495.36, 15,865.20 and 6,716.88

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Solution

The fourth proportional to 11,495.36, 15,865.20 and 6,716.88 is: 9,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.36 : 15,865.20 = 6,716.88 : x
  2. Step 2: Convert to fraction form
    11,495.36/15,865.20 = 6,716.88/x
  3. Step 3: Cross multiply
    11,495.36x = 15,865.20 × 6,716.88
  4. Step 4: Simplify right side
    11,495.36x = 106,564,644.58
  5. Step 5: Solve for x
    x = 106,564,644.58/11,495.36
  6. Step 6: Final answer
    x = 9,270.23

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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.