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Finding the Fourth Proportional to 7,873.28, 11,812.16 and 3,715.84

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Solution

The fourth proportional to 7,873.28, 11,812.16 and 3,715.84 is: 5,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.28 : 11,812.16 = 3,715.84 : x
  2. Step 2: Convert to fraction form
    7,873.28/11,812.16 = 3,715.84/x
  3. Step 3: Cross multiply
    7,873.28x = 11,812.16 × 3,715.84
  4. Step 4: Simplify right side
    7,873.28x = 43,892,096.61
  5. Step 5: Solve for x
    x = 43,892,096.61/7,873.28
  6. Step 6: Final answer
    x = 5,574.82

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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.