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Finding the Fourth Proportional to 11,970.13, 17,962.94 and 5,395.91

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Solution

The fourth proportional to 11,970.13, 17,962.94 and 5,395.91 is: 8,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.13 : 17,962.94 = 5,395.91 : x
  2. Step 2: Convert to fraction form
    11,970.13/17,962.94 = 5,395.91/x
  3. Step 3: Cross multiply
    11,970.13x = 17,962.94 × 5,395.91
  4. Step 4: Simplify right side
    11,970.13x = 96,926,425.50
  5. Step 5: Solve for x
    x = 96,926,425.50/11,970.13
  6. Step 6: Final answer
    x = 8,097.36

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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.