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Finding the Fourth Proportional to 7,860.66, 11,792.10 and 2,313.24

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Solution

The fourth proportional to 7,860.66, 11,792.10 and 2,313.24 is: 3,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.66 : 11,792.10 = 2,313.24 : x
  2. Step 2: Convert to fraction form
    7,860.66/11,792.10 = 2,313.24/x
  3. Step 3: Cross multiply
    7,860.66x = 11,792.10 × 2,313.24
  4. Step 4: Simplify right side
    7,860.66x = 27,277,957.40
  5. Step 5: Solve for x
    x = 27,277,957.40/7,860.66
  6. Step 6: Final answer
    x = 3,470.19

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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.