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Finding the Fourth Proportional to 7,137.10, 9,848.04 and 3,992.68

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Solution

The fourth proportional to 7,137.10, 9,848.04 and 3,992.68 is: 5,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.10 : 9,848.04 = 3,992.68 : x
  2. Step 2: Convert to fraction form
    7,137.10/9,848.04 = 3,992.68/x
  3. Step 3: Cross multiply
    7,137.10x = 9,848.04 × 3,992.68
  4. Step 4: Simplify right side
    7,137.10x = 39,320,072.35
  5. Step 5: Solve for x
    x = 39,320,072.35/7,137.10
  6. Step 6: Final answer
    x = 5,509.25

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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.