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Finding the Fourth Proportional to 7,898.92, 11,849.07 and 2,055.53

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Solution

The fourth proportional to 7,898.92, 11,849.07 and 2,055.53 is: 3,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.92 : 11,849.07 = 2,055.53 : x
  2. Step 2: Convert to fraction form
    7,898.92/11,849.07 = 2,055.53/x
  3. Step 3: Cross multiply
    7,898.92x = 11,849.07 × 2,055.53
  4. Step 4: Simplify right side
    7,898.92x = 24,356,118.86
  5. Step 5: Solve for x
    x = 24,356,118.86/7,898.92
  6. Step 6: Final answer
    x = 3,083.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.