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Finding the Fourth Proportional to 11,569.77, 17,355.42 and 4,549.23

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Solution

The fourth proportional to 11,569.77, 17,355.42 and 4,549.23 is: 6,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.77 : 17,355.42 = 4,549.23 : x
  2. Step 2: Convert to fraction form
    11,569.77/17,355.42 = 4,549.23/x
  3. Step 3: Cross multiply
    11,569.77x = 17,355.42 × 4,549.23
  4. Step 4: Simplify right side
    11,569.77x = 78,953,797.33
  5. Step 5: Solve for x
    x = 78,953,797.33/11,569.77
  6. Step 6: Final answer
    x = 6,824.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.