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Finding the Fourth Proportional to 10,060.28, 13,883.24 and 5,584.32

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Solution

The fourth proportional to 10,060.28, 13,883.24 and 5,584.32 is: 7,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.28 : 13,883.24 = 5,584.32 : x
  2. Step 2: Convert to fraction form
    10,060.28/13,883.24 = 5,584.32/x
  3. Step 3: Cross multiply
    10,060.28x = 13,883.24 × 5,584.32
  4. Step 4: Simplify right side
    10,060.28x = 77,528,454.80
  5. Step 5: Solve for x
    x = 77,528,454.80/10,060.28
  6. Step 6: Final answer
    x = 7,706.39

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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.