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Finding the Fourth Proportional to 11,893.46, 17,858.16 and 9,448.10

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Solution

The fourth proportional to 11,893.46, 17,858.16 and 9,448.10 is: 14,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.46 : 17,858.16 = 9,448.10 : x
  2. Step 2: Convert to fraction form
    11,893.46/17,858.16 = 9,448.10/x
  3. Step 3: Cross multiply
    11,893.46x = 17,858.16 × 9,448.10
  4. Step 4: Simplify right side
    11,893.46x = 168,725,681.50
  5. Step 5: Solve for x
    x = 168,725,681.50/11,893.46
  6. Step 6: Final answer
    x = 14,186.43

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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.