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Finding the Fourth Proportional to 11,495.66, 15,863.76 and 6,459.21

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Solution

The fourth proportional to 11,495.66, 15,863.76 and 6,459.21 is: 8,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.66 : 15,863.76 = 6,459.21 : x
  2. Step 2: Convert to fraction form
    11,495.66/15,863.76 = 6,459.21/x
  3. Step 3: Cross multiply
    11,495.66x = 15,863.76 × 6,459.21
  4. Step 4: Simplify right side
    11,495.66x = 102,467,357.23
  5. Step 5: Solve for x
    x = 102,467,357.23/11,495.66
  6. Step 6: Final answer
    x = 8,913.57

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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.