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Finding the Fourth Proportional to 10,083.88, 13,915.38 and 5,607.64

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Solution

The fourth proportional to 10,083.88, 13,915.38 and 5,607.64 is: 7,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.88 : 13,915.38 = 5,607.64 : x
  2. Step 2: Convert to fraction form
    10,083.88/13,915.38 = 5,607.64/x
  3. Step 3: Cross multiply
    10,083.88x = 13,915.38 × 5,607.64
  4. Step 4: Simplify right side
    10,083.88x = 78,032,441.50
  5. Step 5: Solve for x
    x = 78,032,441.50/10,083.88
  6. Step 6: Final answer
    x = 7,738.33

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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.