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Finding the Fourth Proportional to 11,792.93, 17,634.72 and 9,130.26

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Solution

The fourth proportional to 11,792.93, 17,634.72 and 9,130.26 is: 13,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.93 : 17,634.72 = 9,130.26 : x
  2. Step 2: Convert to fraction form
    11,792.93/17,634.72 = 9,130.26/x
  3. Step 3: Cross multiply
    11,792.93x = 17,634.72 × 9,130.26
  4. Step 4: Simplify right side
    11,792.93x = 161,009,578.63
  5. Step 5: Solve for x
    x = 161,009,578.63/11,792.93
  6. Step 6: Final answer
    x = 13,653.06

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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.