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Finding the Fourth Proportional to 7,885.49, 11,828.54 and 2,042.12

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Solution

The fourth proportional to 7,885.49, 11,828.54 and 2,042.12 is: 3,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.49 : 11,828.54 = 2,042.12 : x
  2. Step 2: Convert to fraction form
    7,885.49/11,828.54 = 2,042.12/x
  3. Step 3: Cross multiply
    7,885.49x = 11,828.54 × 2,042.12
  4. Step 4: Simplify right side
    7,885.49x = 24,155,332.78
  5. Step 5: Solve for x
    x = 24,155,332.78/7,885.49
  6. Step 6: Final answer
    x = 3,063.26

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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.