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Finding the Fourth Proportional to 11,495.69, 15,864.49 and 6,459.82

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Solution

The fourth proportional to 11,495.69, 15,864.49 and 6,459.82 is: 8,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.69 : 15,864.49 = 6,459.82 : x
  2. Step 2: Convert to fraction form
    11,495.69/15,864.49 = 6,459.82/x
  3. Step 3: Cross multiply
    11,495.69x = 15,864.49 × 6,459.82
  4. Step 4: Simplify right side
    11,495.69x = 102,481,718.21
  5. Step 5: Solve for x
    x = 102,481,718.21/11,495.69
  6. Step 6: Final answer
    x = 8,914.80

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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.