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Finding the Fourth Proportional to 7,821.75, 11,732.50 and 1,898.69

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Solution

The fourth proportional to 7,821.75, 11,732.50 and 1,898.69 is: 2,848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.75 : 11,732.50 = 1,898.69 : x
  2. Step 2: Convert to fraction form
    7,821.75/11,732.50 = 1,898.69/x
  3. Step 3: Cross multiply
    7,821.75x = 11,732.50 × 1,898.69
  4. Step 4: Simplify right side
    7,821.75x = 22,276,324.14
  5. Step 5: Solve for x
    x = 22,276,324.14/7,821.75
  6. Step 6: Final answer
    x = 2,848.00

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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.