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Finding the Fourth Proportional to 11,569.64, 17,354.51 and 3,564.32

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Solution

The fourth proportional to 11,569.64, 17,354.51 and 3,564.32 is: 5,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.64 : 17,354.51 = 3,564.32 : x
  2. Step 2: Convert to fraction form
    11,569.64/17,354.51 = 3,564.32/x
  3. Step 3: Cross multiply
    11,569.64x = 17,354.51 × 3,564.32
  4. Step 4: Simplify right side
    11,569.64x = 61,856,949.22
  5. Step 5: Solve for x
    x = 61,856,949.22/11,569.64
  6. Step 6: Final answer
    x = 5,346.49

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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.