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Finding the Fourth Proportional to 7,812.32, 11,718.44 and 2,882.12

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Solution

The fourth proportional to 7,812.32, 11,718.44 and 2,882.12 is: 4,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.32 : 11,718.44 = 2,882.12 : x
  2. Step 2: Convert to fraction form
    7,812.32/11,718.44 = 2,882.12/x
  3. Step 3: Cross multiply
    7,812.32x = 11,718.44 × 2,882.12
  4. Step 4: Simplify right side
    7,812.32x = 33,773,950.29
  5. Step 5: Solve for x
    x = 33,773,950.29/7,812.32
  6. Step 6: Final answer
    x = 4,323.17

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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.