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Finding the Fourth Proportional to 11,848.03, 17,763.29 and 7,166.91

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Solution

The fourth proportional to 11,848.03, 17,763.29 and 7,166.91 is: 10,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.03 : 17,763.29 = 7,166.91 : x
  2. Step 2: Convert to fraction form
    11,848.03/17,763.29 = 7,166.91/x
  3. Step 3: Cross multiply
    11,848.03x = 17,763.29 × 7,166.91
  4. Step 4: Simplify right side
    11,848.03x = 127,307,864.90
  5. Step 5: Solve for x
    x = 127,307,864.90/11,848.03
  6. Step 6: Final answer
    x = 10,745.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.