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Finding the Fourth Proportional to 11,557.90, 17,329 and 4,533.51

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Solution

The fourth proportional to 11,557.90, 17,329 and 4,533.51 is: 6,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.90 : 17,329 = 4,533.51 : x
  2. Step 2: Convert to fraction form
    11,557.90/17,329 = 4,533.51/x
  3. Step 3: Cross multiply
    11,557.90x = 17,329 × 4,533.51
  4. Step 4: Simplify right side
    11,557.90x = 78,561,194.79
  5. Step 5: Solve for x
    x = 78,561,194.79/11,557.90
  6. Step 6: Final answer
    x = 6,797.19

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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.