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Finding the Fourth Proportional to 11,857.57, 17,792.42 and 5,288.06

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Solution

The fourth proportional to 11,857.57, 17,792.42 and 5,288.06 is: 7,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.57 : 17,792.42 = 5,288.06 : x
  2. Step 2: Convert to fraction form
    11,857.57/17,792.42 = 5,288.06/x
  3. Step 3: Cross multiply
    11,857.57x = 17,792.42 × 5,288.06
  4. Step 4: Simplify right side
    11,857.57x = 94,087,384.51
  5. Step 5: Solve for x
    x = 94,087,384.51/11,857.57
  6. Step 6: Final answer
    x = 7,934.79

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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.