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Finding the Fourth Proportional to 11,838.54, 17,745.18 and 8,907.78

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Solution

The fourth proportional to 11,838.54, 17,745.18 and 8,907.78 is: 13,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.54 : 17,745.18 = 8,907.78 : x
  2. Step 2: Convert to fraction form
    11,838.54/17,745.18 = 8,907.78/x
  3. Step 3: Cross multiply
    11,838.54x = 17,745.18 × 8,907.78
  4. Step 4: Simplify right side
    11,838.54x = 158,070,159.50
  5. Step 5: Solve for x
    x = 158,070,159.50/11,838.54
  6. Step 6: Final answer
    x = 13,352.17

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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.