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Finding the Fourth Proportional to 7,857.90, 11,792.75 and 4,160.93

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Solution

The fourth proportional to 7,857.90, 11,792.75 and 4,160.93 is: 6,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.90 : 11,792.75 = 4,160.93 : x
  2. Step 2: Convert to fraction form
    7,857.90/11,792.75 = 4,160.93/x
  3. Step 3: Cross multiply
    7,857.90x = 11,792.75 × 4,160.93
  4. Step 4: Simplify right side
    7,857.90x = 49,068,727.49
  5. Step 5: Solve for x
    x = 49,068,727.49/7,857.90
  6. Step 6: Final answer
    x = 6,244.51

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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.