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Finding the Fourth Proportional to 11,690.78, 17,529.93 and 5,109.26

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Solution

The fourth proportional to 11,690.78, 17,529.93 and 5,109.26 is: 7,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.78 : 17,529.93 = 5,109.26 : x
  2. Step 2: Convert to fraction form
    11,690.78/17,529.93 = 5,109.26/x
  3. Step 3: Cross multiply
    11,690.78x = 17,529.93 × 5,109.26
  4. Step 4: Simplify right side
    11,690.78x = 89,564,970.15
  5. Step 5: Solve for x
    x = 89,564,970.15/11,690.78
  6. Step 6: Final answer
    x = 7,661.16

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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.