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Finding the Fourth Proportional to 10,083.78, 13,915.55 and 5,607.51

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Solution

The fourth proportional to 10,083.78, 13,915.55 and 5,607.51 is: 7,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.78 : 13,915.55 = 5,607.51 : x
  2. Step 2: Convert to fraction form
    10,083.78/13,915.55 = 5,607.51/x
  3. Step 3: Cross multiply
    10,083.78x = 13,915.55 × 5,607.51
  4. Step 4: Simplify right side
    10,083.78x = 78,031,557.74
  5. Step 5: Solve for x
    x = 78,031,557.74/10,083.78
  6. Step 6: Final answer
    x = 7,738.32

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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.