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Finding the Fourth Proportional to 7,812.17, 11,718.29 and 3,195.17

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Solution

The fourth proportional to 7,812.17, 11,718.29 and 3,195.17 is: 4,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.17 : 11,718.29 = 3,195.17 : x
  2. Step 2: Convert to fraction form
    7,812.17/11,718.29 = 3,195.17/x
  3. Step 3: Cross multiply
    7,812.17x = 11,718.29 × 3,195.17
  4. Step 4: Simplify right side
    7,812.17x = 37,441,878.06
  5. Step 5: Solve for x
    x = 37,441,878.06/7,812.17
  6. Step 6: Final answer
    x = 4,792.77

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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.