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Finding the Fourth Proportional to 7,858.82, 11,726.98 and 7,160.20

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Solution

The fourth proportional to 7,858.82, 11,726.98 and 7,160.20 is: 10,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.82 : 11,726.98 = 7,160.20 : x
  2. Step 2: Convert to fraction form
    7,858.82/11,726.98 = 7,160.20/x
  3. Step 3: Cross multiply
    7,858.82x = 11,726.98 × 7,160.20
  4. Step 4: Simplify right side
    7,858.82x = 83,967,474.98
  5. Step 5: Solve for x
    x = 83,967,474.98/7,858.82
  6. Step 6: Final answer
    x = 10,684.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.