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Finding the Fourth Proportional to 10,060.76, 13,883.78 and 5,584.36

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Solution

The fourth proportional to 10,060.76, 13,883.78 and 5,584.36 is: 7,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.76 : 13,883.78 = 5,584.36 : x
  2. Step 2: Convert to fraction form
    10,060.76/13,883.78 = 5,584.36/x
  3. Step 3: Cross multiply
    10,060.76x = 13,883.78 × 5,584.36
  4. Step 4: Simplify right side
    10,060.76x = 77,532,025.68
  5. Step 5: Solve for x
    x = 77,532,025.68/10,060.76
  6. Step 6: Final answer
    x = 7,706.38

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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.