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Finding the Fourth Proportional to 11,567.16, 17,350.64 and 3,669.68

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Solution

The fourth proportional to 11,567.16, 17,350.64 and 3,669.68 is: 5,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.16 : 17,350.64 = 3,669.68 : x
  2. Step 2: Convert to fraction form
    11,567.16/17,350.64 = 3,669.68/x
  3. Step 3: Cross multiply
    11,567.16x = 17,350.64 × 3,669.68
  4. Step 4: Simplify right side
    11,567.16x = 63,671,296.60
  5. Step 5: Solve for x
    x = 63,671,296.60/11,567.16
  6. Step 6: Final answer
    x = 5,504.49

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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.