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Finding the Fourth Proportional to 11,097.36, 16,641.18 and 4,167

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Solution

The fourth proportional to 11,097.36, 16,641.18 and 4,167 is: 6,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.36 : 16,641.18 = 4,167 : x
  2. Step 2: Convert to fraction form
    11,097.36/16,641.18 = 4,167/x
  3. Step 3: Cross multiply
    11,097.36x = 16,641.18 × 4,167
  4. Step 4: Simplify right side
    11,097.36x = 69,343,797.06
  5. Step 5: Solve for x
    x = 69,343,797.06/11,097.36
  6. Step 6: Final answer
    x = 6,248.68

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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.