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Finding the Fourth Proportional to 12,901.44, 17,804.90 and 7,160.78

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Solution

The fourth proportional to 12,901.44, 17,804.90 and 7,160.78 is: 9,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.44 : 17,804.90 = 7,160.78 : x
  2. Step 2: Convert to fraction form
    12,901.44/17,804.90 = 7,160.78/x
  3. Step 3: Cross multiply
    12,901.44x = 17,804.90 × 7,160.78
  4. Step 4: Simplify right side
    12,901.44x = 127,496,971.82
  5. Step 5: Solve for x
    x = 127,496,971.82/12,901.44
  6. Step 6: Final answer
    x = 9,882.38

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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.