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Finding the Fourth Proportional to 7,898.48, 11,853 and 3,281.48

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Solution

The fourth proportional to 7,898.48, 11,853 and 3,281.48 is: 4,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.48 : 11,853 = 3,281.48 : x
  2. Step 2: Convert to fraction form
    7,898.48/11,853 = 3,281.48/x
  3. Step 3: Cross multiply
    7,898.48x = 11,853 × 3,281.48
  4. Step 4: Simplify right side
    7,898.48x = 38,895,382.44
  5. Step 5: Solve for x
    x = 38,895,382.44/7,898.48
  6. Step 6: Final answer
    x = 4,924.41

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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.