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Finding the Fourth Proportional to 11,761.88, 17,642.81 and 4,744.98

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Solution

The fourth proportional to 11,761.88, 17,642.81 and 4,744.98 is: 7,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.88 : 17,642.81 = 4,744.98 : x
  2. Step 2: Convert to fraction form
    11,761.88/17,642.81 = 4,744.98/x
  3. Step 3: Cross multiply
    11,761.88x = 17,642.81 × 4,744.98
  4. Step 4: Simplify right side
    11,761.88x = 83,714,792.46
  5. Step 5: Solve for x
    x = 83,714,792.46/11,761.88
  6. Step 6: Final answer
    x = 7,117.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.