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Finding the Fourth Proportional to 11,166.50, 16,748.40 and 3,669.68

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Solution

The fourth proportional to 11,166.50, 16,748.40 and 3,669.68 is: 5,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.50 : 16,748.40 = 3,669.68 : x
  2. Step 2: Convert to fraction form
    11,166.50/16,748.40 = 3,669.68/x
  3. Step 3: Cross multiply
    11,166.50x = 16,748.40 × 3,669.68
  4. Step 4: Simplify right side
    11,166.50x = 61,461,268.51
  5. Step 5: Solve for x
    x = 61,461,268.51/11,166.50
  6. Step 6: Final answer
    x = 5,504.08

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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.