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Finding the Fourth Proportional to 10,083.57, 13,915.26 and 5,607.29

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Solution

The fourth proportional to 10,083.57, 13,915.26 and 5,607.29 is: 7,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.57 : 13,915.26 = 5,607.29 : x
  2. Step 2: Convert to fraction form
    10,083.57/13,915.26 = 5,607.29/x
  3. Step 3: Cross multiply
    10,083.57x = 13,915.26 × 5,607.29
  4. Step 4: Simplify right side
    10,083.57x = 78,026,828.67
  5. Step 5: Solve for x
    x = 78,026,828.67/10,083.57
  6. Step 6: Final answer
    x = 7,738.02

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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.