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Finding the Fourth Proportional to 7,828.71, 11,745 and 2,282.12

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Solution

The fourth proportional to 7,828.71, 11,745 and 2,282.12 is: 3,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.71 : 11,745 = 2,282.12 : x
  2. Step 2: Convert to fraction form
    7,828.71/11,745 = 2,282.12/x
  3. Step 3: Cross multiply
    7,828.71x = 11,745 × 2,282.12
  4. Step 4: Simplify right side
    7,828.71x = 26,803,440.68
  5. Step 5: Solve for x
    x = 26,803,440.68/7,828.71
  6. Step 6: Final answer
    x = 3,423.74

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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.