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Finding the Fourth Proportional to 7,876.25, 11,814.42 and 2,032.46

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Solution

The fourth proportional to 7,876.25, 11,814.42 and 2,032.46 is: 3,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.25 : 11,814.42 = 2,032.46 : x
  2. Step 2: Convert to fraction form
    7,876.25/11,814.42 = 2,032.46/x
  3. Step 3: Cross multiply
    7,876.25x = 11,814.42 × 2,032.46
  4. Step 4: Simplify right side
    7,876.25x = 24,012,336.07
  5. Step 5: Solve for x
    x = 24,012,336.07/7,876.25
  6. Step 6: Final answer
    x = 3,048.70

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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.