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Finding the Fourth Proportional to 11,564.67, 15,959.22 and 6,259.59

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Solution

The fourth proportional to 11,564.67, 15,959.22 and 6,259.59 is: 8,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.67 : 15,959.22 = 6,259.59 : x
  2. Step 2: Convert to fraction form
    11,564.67/15,959.22 = 6,259.59/x
  3. Step 3: Cross multiply
    11,564.67x = 15,959.22 × 6,259.59
  4. Step 4: Simplify right side
    11,564.67x = 99,898,173.92
  5. Step 5: Solve for x
    x = 99,898,173.92/11,564.67
  6. Step 6: Final answer
    x = 8,638.22

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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.