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Finding the Fourth Proportional to 11,564.21, 15,958.02 and 6,459.38

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Solution

The fourth proportional to 11,564.21, 15,958.02 and 6,459.38 is: 8,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.21 : 15,958.02 = 6,459.38 : x
  2. Step 2: Convert to fraction form
    11,564.21/15,958.02 = 6,459.38/x
  3. Step 3: Cross multiply
    11,564.21x = 15,958.02 × 6,459.38
  4. Step 4: Simplify right side
    11,564.21x = 103,078,835.44
  5. Step 5: Solve for x
    x = 103,078,835.44/11,564.21
  6. Step 6: Final answer
    x = 8,913.61

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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.