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Finding the Fourth Proportional to 11,495.68, 15,863.58 and 6,459.88

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Solution

The fourth proportional to 11,495.68, 15,863.58 and 6,459.88 is: 8,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.68 : 15,863.58 = 6,459.88 : x
  2. Step 2: Convert to fraction form
    11,495.68/15,863.58 = 6,459.88/x
  3. Step 3: Cross multiply
    11,495.68x = 15,863.58 × 6,459.88
  4. Step 4: Simplify right side
    11,495.68x = 102,476,823.17
  5. Step 5: Solve for x
    x = 102,476,823.17/11,495.68
  6. Step 6: Final answer
    x = 8,914.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.