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Finding the Fourth Proportional to 8,896.50, 13,345.47 and 2,740.50

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Solution

The fourth proportional to 8,896.50, 13,345.47 and 2,740.50 is: 4,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.50 : 13,345.47 = 2,740.50 : x
  2. Step 2: Convert to fraction form
    8,896.50/13,345.47 = 2,740.50/x
  3. Step 3: Cross multiply
    8,896.50x = 13,345.47 × 2,740.50
  4. Step 4: Simplify right side
    8,896.50x = 36,573,260.54
  5. Step 5: Solve for x
    x = 36,573,260.54/8,896.50
  6. Step 6: Final answer
    x = 4,110.97

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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.