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Finding the Fourth Proportional to 11,564.38, 15,958.84 and 6,259.24

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Solution

The fourth proportional to 11,564.38, 15,958.84 and 6,259.24 is: 8,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.38 : 15,958.84 = 6,259.24 : x
  2. Step 2: Convert to fraction form
    11,564.38/15,958.84 = 6,259.24/x
  3. Step 3: Cross multiply
    11,564.38x = 15,958.84 × 6,259.24
  4. Step 4: Simplify right side
    11,564.38x = 99,890,129.89
  5. Step 5: Solve for x
    x = 99,890,129.89/11,564.38
  6. Step 6: Final answer
    x = 8,637.75

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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.