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Finding the Fourth Proportional to 11,812.77, 17,719.16 and 4,792.77

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Solution

The fourth proportional to 11,812.77, 17,719.16 and 4,792.77 is: 7,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.77 : 17,719.16 = 4,792.77 : x
  2. Step 2: Convert to fraction form
    11,812.77/17,719.16 = 4,792.77/x
  3. Step 3: Cross multiply
    11,812.77x = 17,719.16 × 4,792.77
  4. Step 4: Simplify right side
    11,812.77x = 84,923,834.51
  5. Step 5: Solve for x
    x = 84,923,834.51/11,812.77
  6. Step 6: Final answer
    x = 7,189.16

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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.