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Finding the Fourth Proportional to 10,083.95, 13,915.73 and 5,607.54

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Solution

The fourth proportional to 10,083.95, 13,915.73 and 5,607.54 is: 7,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.95 : 13,915.73 = 5,607.54 : x
  2. Step 2: Convert to fraction form
    10,083.95/13,915.73 = 5,607.54/x
  3. Step 3: Cross multiply
    10,083.95x = 13,915.73 × 5,607.54
  4. Step 4: Simplify right side
    10,083.95x = 78,032,984.57
  5. Step 5: Solve for x
    x = 78,032,984.57/10,083.95
  6. Step 6: Final answer
    x = 7,738.34

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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.