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Finding the Fourth Proportional to 12,678.58, 17,497.91 and 7,645.38

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Solution

The fourth proportional to 12,678.58, 17,497.91 and 7,645.38 is: 10,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.58 : 17,497.91 = 7,645.38 : x
  2. Step 2: Convert to fraction form
    12,678.58/17,497.91 = 7,645.38/x
  3. Step 3: Cross multiply
    12,678.58x = 17,497.91 × 7,645.38
  4. Step 4: Simplify right side
    12,678.58x = 133,778,171.16
  5. Step 5: Solve for x
    x = 133,778,171.16/12,678.58
  6. Step 6: Final answer
    x = 10,551.51

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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.