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Finding the Fourth Proportional to 7,892.16, 11,837.76 and 3,210.72

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Solution

The fourth proportional to 7,892.16, 11,837.76 and 3,210.72 is: 4,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.16 : 11,837.76 = 3,210.72 : x
  2. Step 2: Convert to fraction form
    7,892.16/11,837.76 = 3,210.72/x
  3. Step 3: Cross multiply
    7,892.16x = 11,837.76 × 3,210.72
  4. Step 4: Simplify right side
    7,892.16x = 38,007,732.79
  5. Step 5: Solve for x
    x = 38,007,732.79/7,892.16
  6. Step 6: Final answer
    x = 4,815.88

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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.